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Finding the Fourth Proportional to 282,432.72, 389,874.96 and 201,892.80

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Solution

The fourth proportional to 282,432.72, 389,874.96 and 201,892.80 is: 278,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,432.72 : 389,874.96 = 201,892.80 : x
  2. Step 2: Convert to fraction form
    282,432.72/389,874.96 = 201,892.80/x
  3. Step 3: Cross multiply
    282,432.72x = 389,874.96 × 201,892.80
  4. Step 4: Simplify right side
    282,432.72x = 78,712,947,324.29
  5. Step 5: Solve for x
    x = 78,712,947,324.29/282,432.72
  6. Step 6: Final answer
    x = 278,696.28

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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.