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Finding the Fourth Proportional to 527,371.80, 727,647 and 312,474.72

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Solution

The fourth proportional to 527,371.80, 727,647 and 312,474.72 is: 431,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,371.80 : 727,647 = 312,474.72 : x
  2. Step 2: Convert to fraction form
    527,371.80/727,647 = 312,474.72/x
  3. Step 3: Cross multiply
    527,371.80x = 727,647 × 312,474.72
  4. Step 4: Simplify right side
    527,371.80x = 227,371,292,583.84
  5. Step 5: Solve for x
    x = 227,371,292,583.84/527,371.80
  6. Step 6: Final answer
    x = 431,140.41

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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.