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Finding the Fourth Proportional to 510,096.60, 765,144.90 and 431,364.60

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Solution

The fourth proportional to 510,096.60, 765,144.90 and 431,364.60 is: 647,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,096.60 : 765,144.90 = 431,364.60 : x
  2. Step 2: Convert to fraction form
    510,096.60/765,144.90 = 431,364.60/x
  3. Step 3: Cross multiply
    510,096.60x = 765,144.90 × 431,364.60
  4. Step 4: Simplify right side
    510,096.60x = 330,056,423,730.54
  5. Step 5: Solve for x
    x = 330,056,423,730.54/510,096.60
  6. Step 6: Final answer
    x = 647,046.90

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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.