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Finding the Fourth Proportional to 538,404.60, 807,714.90 and 159,324.60

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Solution

The fourth proportional to 538,404.60, 807,714.90 and 159,324.60 is: 239,018.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,404.60 : 807,714.90 = 159,324.60 : x
  2. Step 2: Convert to fraction form
    538,404.60/807,714.90 = 159,324.60/x
  3. Step 3: Cross multiply
    538,404.60x = 807,714.90 × 159,324.60
  4. Step 4: Simplify right side
    538,404.60x = 128,688,853,356.54
  5. Step 5: Solve for x
    x = 128,688,853,356.54/538,404.60
  6. Step 6: Final answer
    x = 239,018.86

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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.