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Finding the Fourth Proportional to 275,472.80, 413,209.20 and 97,985.60

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Solution

The fourth proportional to 275,472.80, 413,209.20 and 97,985.60 is: 146,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,472.80 : 413,209.20 = 97,985.60 : x
  2. Step 2: Convert to fraction form
    275,472.80/413,209.20 = 97,985.60/x
  3. Step 3: Cross multiply
    275,472.80x = 413,209.20 × 97,985.60
  4. Step 4: Simplify right side
    275,472.80x = 40,488,551,387.52
  5. Step 5: Solve for x
    x = 40,488,551,387.52/275,472.80
  6. Step 6: Final answer
    x = 146,978.40

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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.