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Finding the Fourth Proportional to 487,956.24, 731,372.67 and 188,304.30

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Solution

The fourth proportional to 487,956.24, 731,372.67 and 188,304.30 is: 282,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,956.24 : 731,372.67 = 188,304.30 : x
  2. Step 2: Convert to fraction form
    487,956.24/731,372.67 = 188,304.30/x
  3. Step 3: Cross multiply
    487,956.24x = 731,372.67 × 188,304.30
  4. Step 4: Simplify right side
    487,956.24x = 137,720,618,663.48
  5. Step 5: Solve for x
    x = 137,720,618,663.48/487,956.24
  6. Step 6: Final answer
    x = 282,239.69

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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.