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Finding the Fourth Proportional to 427,128.80, 640,542.40 and 187,359.16

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Solution

The fourth proportional to 427,128.80, 640,542.40 and 187,359.16 is: 280,972.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,128.80 : 640,542.40 = 187,359.16 : x
  2. Step 2: Convert to fraction form
    427,128.80/640,542.40 = 187,359.16/x
  3. Step 3: Cross multiply
    427,128.80x = 640,542.40 × 187,359.16
  4. Step 4: Simplify right side
    427,128.80x = 120,011,486,008.38
  5. Step 5: Solve for x
    x = 120,011,486,008.38/427,128.80
  6. Step 6: Final answer
    x = 280,972.59

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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.