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Finding the Fourth Proportional to 487,689.27, 731,596.21 and 188,255.48

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Solution

The fourth proportional to 487,689.27, 731,596.21 and 188,255.48 is: 282,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,689.27 : 731,596.21 = 188,255.48 : x
  2. Step 2: Convert to fraction form
    487,689.27/731,596.21 = 188,255.48/x
  3. Step 3: Cross multiply
    487,689.27x = 731,596.21 × 188,255.48
  4. Step 4: Simplify right side
    487,689.27x = 137,726,995,679.73
  5. Step 5: Solve for x
    x = 137,726,995,679.73/487,689.27
  6. Step 6: Final answer
    x = 282,407.27

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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.