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Finding the Fourth Proportional to 527,344.47, 727,735.08 and 285,626.97

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Solution

The fourth proportional to 527,344.47, 727,735.08 and 285,626.97 is: 394,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,344.47 : 727,735.08 = 285,626.97 : x
  2. Step 2: Convert to fraction form
    527,344.47/727,735.08 = 285,626.97/x
  3. Step 3: Cross multiply
    527,344.47x = 727,735.08 × 285,626.97
  4. Step 4: Simplify right side
    527,344.47x = 207,860,765,863.11
  5. Step 5: Solve for x
    x = 207,860,765,863.11/527,344.47
  6. Step 6: Final answer
    x = 394,165.06

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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.