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Finding the Fourth Proportional to 275,679.60, 413,514.72 and 157,098

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Solution

The fourth proportional to 275,679.60, 413,514.72 and 157,098 is: 235,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,679.60 : 413,514.72 = 157,098 : x
  2. Step 2: Convert to fraction form
    275,679.60/413,514.72 = 157,098/x
  3. Step 3: Cross multiply
    275,679.60x = 413,514.72 × 157,098
  4. Step 4: Simplify right side
    275,679.60x = 64,962,335,482.56
  5. Step 5: Solve for x
    x = 64,962,335,482.56/275,679.60
  6. Step 6: Final answer
    x = 235,644.33

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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.