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Finding the Fourth Proportional to 487,402.97, 730,823.05 and 150,353.12

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Solution

The fourth proportional to 487,402.97, 730,823.05 and 150,353.12 is: 225,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,402.97 : 730,823.05 = 150,353.12 : x
  2. Step 2: Convert to fraction form
    487,402.97/730,823.05 = 150,353.12/x
  3. Step 3: Cross multiply
    487,402.97x = 730,823.05 × 150,353.12
  4. Step 4: Simplify right side
    487,402.97x = 109,881,527,186.59
  5. Step 5: Solve for x
    x = 109,881,527,186.59/487,402.97
  6. Step 6: Final answer
    x = 225,442.87

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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.