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Finding the Fourth Proportional to 487,686.28, 731,591.71 and 188,252.48

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Solution

The fourth proportional to 487,686.28, 731,591.71 and 188,252.48 is: 282,402.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,686.28 : 731,591.71 = 188,252.48 : x
  2. Step 2: Convert to fraction form
    487,686.28/731,591.71 = 188,252.48/x
  3. Step 3: Cross multiply
    487,686.28x = 731,591.71 × 188,252.48
  4. Step 4: Simplify right side
    487,686.28x = 137,723,953,754.94
  5. Step 5: Solve for x
    x = 137,723,953,754.94/487,686.28
  6. Step 6: Final answer
    x = 282,402.77

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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.