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Finding the Fourth Proportional to 381,241.30, 571,490.16 and 181,508

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Solution

The fourth proportional to 381,241.30, 571,490.16 and 181,508 is: 272,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,241.30 : 571,490.16 = 181,508 : x
  2. Step 2: Convert to fraction form
    381,241.30/571,490.16 = 181,508/x
  3. Step 3: Cross multiply
    381,241.30x = 571,490.16 × 181,508
  4. Step 4: Simplify right side
    381,241.30x = 103,730,035,961.28
  5. Step 5: Solve for x
    x = 103,730,035,961.28/381,241.30
  6. Step 6: Final answer
    x = 272,084.99

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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.