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Finding the Fourth Proportional to 275,772.80, 413,659.20 and 88,784.30

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Solution

The fourth proportional to 275,772.80, 413,659.20 and 88,784.30 is: 133,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,772.80 : 413,659.20 = 88,784.30 : x
  2. Step 2: Convert to fraction form
    275,772.80/413,659.20 = 88,784.30/x
  3. Step 3: Cross multiply
    275,772.80x = 413,659.20 × 88,784.30
  4. Step 4: Simplify right side
    275,772.80x = 36,726,442,510.56
  5. Step 5: Solve for x
    x = 36,726,442,510.56/275,772.80
  6. Step 6: Final answer
    x = 133,176.45

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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.