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Finding the Fourth Proportional to 282,635.43, 389,647.17 and 225,468.78

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Solution

The fourth proportional to 282,635.43, 389,647.17 and 225,468.78 is: 310,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,635.43 : 389,647.17 = 225,468.78 : x
  2. Step 2: Convert to fraction form
    282,635.43/389,647.17 = 225,468.78/x
  3. Step 3: Cross multiply
    282,635.43x = 389,647.17 × 225,468.78
  4. Step 4: Simplify right side
    282,635.43x = 87,853,272,050.35
  5. Step 5: Solve for x
    x = 87,853,272,050.35/282,635.43
  6. Step 6: Final answer
    x = 310,836.02

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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.