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Finding the Fourth Proportional to 527,381.89, 727,734.88 and 294,765.28

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Solution

The fourth proportional to 527,381.89, 727,734.88 and 294,765.28 is: 406,746.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,381.89 : 727,734.88 = 294,765.28 : x
  2. Step 2: Convert to fraction form
    527,381.89/727,734.88 = 294,765.28/x
  3. Step 3: Cross multiply
    527,381.89x = 727,734.88 × 294,765.28
  4. Step 4: Simplify right side
    527,381.89x = 214,510,974,218.09
  5. Step 5: Solve for x
    x = 214,510,974,218.09/527,381.89
  6. Step 6: Final answer
    x = 406,746.95

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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.