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Finding the Fourth Proportional to 527,489.34, 727,934.40 and 285,778.05

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Solution

The fourth proportional to 527,489.34, 727,934.40 and 285,778.05 is: 394,373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,489.34 : 727,934.40 = 285,778.05 : x
  2. Step 2: Convert to fraction form
    527,489.34/727,934.40 = 285,778.05/x
  3. Step 3: Cross multiply
    527,489.34x = 727,934.40 × 285,778.05
  4. Step 4: Simplify right side
    527,489.34x = 208,027,673,359.92
  5. Step 5: Solve for x
    x = 208,027,673,359.92/527,489.34
  6. Step 6: Final answer
    x = 394,373.23

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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.