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Finding the Fourth Proportional to 527,150, 727,465.92 and 285,432.50

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Solution

The fourth proportional to 527,150, 727,465.92 and 285,432.50 is: 393,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,150 : 727,465.92 = 285,432.50 : x
  2. Step 2: Convert to fraction form
    527,150/727,465.92 = 285,432.50/x
  3. Step 3: Cross multiply
    527,150x = 727,465.92 × 285,432.50
  4. Step 4: Simplify right side
    527,150x = 207,642,416,210.40
  5. Step 5: Solve for x
    x = 207,642,416,210.40/527,150
  6. Step 6: Final answer
    x = 393,896.27

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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.