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Finding the Fourth Proportional to 527,063.72, 727,342.88 and 285,340.10

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Solution

The fourth proportional to 527,063.72, 727,342.88 and 285,340.10 is: 393,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,063.72 : 727,342.88 = 285,340.10 : x
  2. Step 2: Convert to fraction form
    527,063.72/727,342.88 = 285,340.10/x
  3. Step 3: Cross multiply
    527,063.72x = 727,342.88 × 285,340.10
  4. Step 4: Simplify right side
    527,063.72x = 207,540,090,113.49
  5. Step 5: Solve for x
    x = 207,540,090,113.49/527,063.72
  6. Step 6: Final answer
    x = 393,766.60

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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.