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Finding the Fourth Proportional to 381,472.44, 526,428.54 and 209,385.30

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Solution

The fourth proportional to 381,472.44, 526,428.54 and 209,385.30 is: 288,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,472.44 : 526,428.54 = 209,385.30 : x
  2. Step 2: Convert to fraction form
    381,472.44/526,428.54 = 209,385.30/x
  3. Step 3: Cross multiply
    381,472.44x = 526,428.54 × 209,385.30
  4. Step 4: Simplify right side
    381,472.44x = 110,226,397,776.46
  5. Step 5: Solve for x
    x = 110,226,397,776.46/381,472.44
  6. Step 6: Final answer
    x = 288,949.83

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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.