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Finding the Fourth Proportional to 510,101.10, 765,151.65 and 431,369.10

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Solution

The fourth proportional to 510,101.10, 765,151.65 and 431,369.10 is: 647,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,101.10 : 765,151.65 = 431,369.10 : x
  2. Step 2: Convert to fraction form
    510,101.10/765,151.65 = 431,369.10/x
  3. Step 3: Cross multiply
    510,101.10x = 765,151.65 × 431,369.10
  4. Step 4: Simplify right side
    510,101.10x = 330,062,778,624.02
  5. Step 5: Solve for x
    x = 330,062,778,624.02/510,101.10
  6. Step 6: Final answer
    x = 647,053.65

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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.