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Finding the Fourth Proportional to 527,274.90, 727,635.71 and 285,551.94

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Solution

The fourth proportional to 527,274.90, 727,635.71 and 285,551.94 is: 394,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,274.90 : 727,635.71 = 285,551.94 : x
  2. Step 2: Convert to fraction form
    527,274.90/727,635.71 = 285,551.94/x
  3. Step 3: Cross multiply
    527,274.90x = 727,635.71 × 285,551.94
  4. Step 4: Simplify right side
    527,274.90x = 207,777,787,176.02
  5. Step 5: Solve for x
    x = 207,777,787,176.02/527,274.90
  6. Step 6: Final answer
    x = 394,059.70

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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.