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Finding the Fourth Proportional to 527,381.40, 727,770.78 and 297,949.44

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Solution

The fourth proportional to 527,381.40, 727,770.78 and 297,949.44 is: 411,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,381.40 : 727,770.78 = 297,949.44 : x
  2. Step 2: Convert to fraction form
    527,381.40/727,770.78 = 297,949.44/x
  3. Step 3: Cross multiply
    527,381.40x = 727,770.78 × 297,949.44
  4. Step 4: Simplify right side
    527,381.40x = 216,838,896,349.36
  5. Step 5: Solve for x
    x = 216,838,896,349.36/527,381.40
  6. Step 6: Final answer
    x = 411,161.44

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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.