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Finding the Fourth Proportional to 282,419.43, 389,724.66 and 159,892.74

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Solution

The fourth proportional to 282,419.43, 389,724.66 and 159,892.74 is: 220,643.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,419.43 : 389,724.66 = 159,892.74 : x
  2. Step 2: Convert to fraction form
    282,419.43/389,724.66 = 159,892.74/x
  3. Step 3: Cross multiply
    282,419.43x = 389,724.66 × 159,892.74
  4. Step 4: Simplify right side
    282,419.43x = 62,314,143,732.97
  5. Step 5: Solve for x
    x = 62,314,143,732.97/282,419.43
  6. Step 6: Final answer
    x = 220,643.97

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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.