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Finding the Fourth Proportional to 275,721.30, 413,630.55 and 98,331.30

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Solution

The fourth proportional to 275,721.30, 413,630.55 and 98,331.30 is: 147,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,721.30 : 413,630.55 = 98,331.30 : x
  2. Step 2: Convert to fraction form
    275,721.30/413,630.55 = 98,331.30/x
  3. Step 3: Cross multiply
    275,721.30x = 413,630.55 × 98,331.30
  4. Step 4: Simplify right side
    275,721.30x = 40,672,829,701.22
  5. Step 5: Solve for x
    x = 40,672,829,701.22/275,721.30
  6. Step 6: Final answer
    x = 147,514.28

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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.