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Finding the Fourth Proportional to 381,813.01, 572,177.90 and 281,184.01

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Solution

The fourth proportional to 381,813.01, 572,177.90 and 281,184.01 is: 421,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,813.01 : 572,177.90 = 281,184.01 : x
  2. Step 2: Convert to fraction form
    381,813.01/572,177.90 = 281,184.01/x
  3. Step 3: Cross multiply
    381,813.01x = 572,177.90 × 281,184.01
  4. Step 4: Simplify right side
    381,813.01x = 160,887,274,949.46
  5. Step 5: Solve for x
    x = 160,887,274,949.46/381,813.01
  6. Step 6: Final answer
    x = 421,377.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.