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Finding the Fourth Proportional to 387,757.53, 535,155.26 and 218,024.46

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Solution

The fourth proportional to 387,757.53, 535,155.26 and 218,024.46 is: 300,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,757.53 : 535,155.26 = 218,024.46 : x
  2. Step 2: Convert to fraction form
    387,757.53/535,155.26 = 218,024.46/x
  3. Step 3: Cross multiply
    387,757.53x = 535,155.26 × 218,024.46
  4. Step 4: Simplify right side
    387,757.53x = 116,676,935,487.54
  5. Step 5: Solve for x
    x = 116,676,935,487.54/387,757.53
  6. Step 6: Final answer
    x = 300,901.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.