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Finding the Fourth Proportional to 508,497.10, 762,869.18 and 153,489.90

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Solution

The fourth proportional to 508,497.10, 762,869.18 and 153,489.90 is: 230,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,497.10 : 762,869.18 = 153,489.90 : x
  2. Step 2: Convert to fraction form
    508,497.10/762,869.18 = 153,489.90/x
  3. Step 3: Cross multiply
    508,497.10x = 762,869.18 × 153,489.90
  4. Step 4: Simplify right side
    508,497.10x = 117,092,714,151.28
  5. Step 5: Solve for x
    x = 117,092,714,151.28/508,497.10
  6. Step 6: Final answer
    x = 230,272.14

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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.