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Finding the Fourth Proportional to 527,132.40, 727,443.84 and 285,417.84

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Solution

The fourth proportional to 527,132.40, 727,443.84 and 285,417.84 is: 393,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,132.40 : 727,443.84 = 285,417.84 : x
  2. Step 2: Convert to fraction form
    527,132.40/727,443.84 = 285,417.84/x
  3. Step 3: Cross multiply
    527,132.40x = 727,443.84 × 285,417.84
  4. Step 4: Simplify right side
    527,132.40x = 207,625,449,534.11
  5. Step 5: Solve for x
    x = 207,625,449,534.11/527,132.40
  6. Step 6: Final answer
    x = 393,877.23

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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.