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Finding the Fourth Proportional to 510,122.10, 765,183.15 and 431,390.10

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Solution

The fourth proportional to 510,122.10, 765,183.15 and 431,390.10 is: 647,085.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,122.10 : 765,183.15 = 431,390.10 : x
  2. Step 2: Convert to fraction form
    510,122.10/765,183.15 = 431,390.10/x
  3. Step 3: Cross multiply
    510,122.10x = 765,183.15 × 431,390.10
  4. Step 4: Simplify right side
    510,122.10x = 330,092,435,596.82
  5. Step 5: Solve for x
    x = 330,092,435,596.82/510,122.10
  6. Step 6: Final answer
    x = 647,085.15

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.