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Finding the Fourth Proportional to 487,911.14, 732,304.11 and 408,446.50

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Solution

The fourth proportional to 487,911.14, 732,304.11 and 408,446.50 is: 613,035.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,911.14 : 732,304.11 = 408,446.50 : x
  2. Step 2: Convert to fraction form
    487,911.14/732,304.11 = 408,446.50/x
  3. Step 3: Cross multiply
    487,911.14x = 732,304.11 × 408,446.50
  4. Step 4: Simplify right side
    487,911.14x = 299,107,047,003.59
  5. Step 5: Solve for x
    x = 299,107,047,003.59/487,911.14
  6. Step 6: Final answer
    x = 613,035.90

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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.