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Finding the Fourth Proportional to 527,197.96, 727,531.87 and 285,480.52

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Solution

The fourth proportional to 527,197.96, 727,531.87 and 285,480.52 is: 393,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,197.96 : 727,531.87 = 285,480.52 : x
  2. Step 2: Convert to fraction form
    527,197.96/727,531.87 = 285,480.52/x
  3. Step 3: Cross multiply
    527,197.96x = 727,531.87 × 285,480.52
  4. Step 4: Simplify right side
    527,197.96x = 207,696,173,640.21
  5. Step 5: Solve for x
    x = 207,696,173,640.21/527,197.96
  6. Step 6: Final answer
    x = 393,962.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.