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Finding the Fourth Proportional to 392,387.31, 541,333.40 and 284,718.87

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Solution

The fourth proportional to 392,387.31, 541,333.40 and 284,718.87 is: 392,795.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,387.31 : 541,333.40 = 284,718.87 : x
  2. Step 2: Convert to fraction form
    392,387.31/541,333.40 = 284,718.87/x
  3. Step 3: Cross multiply
    392,387.31x = 541,333.40 × 284,718.87
  4. Step 4: Simplify right side
    392,387.31x = 154,127,832,517.66
  5. Step 5: Solve for x
    x = 154,127,832,517.66/392,387.31
  6. Step 6: Final answer
    x = 392,795.15

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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.