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Finding the Fourth Proportional to 275,429.20, 413,143.80 and 157,331.20

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Solution

The fourth proportional to 275,429.20, 413,143.80 and 157,331.20 is: 235,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,429.20 : 413,143.80 = 157,331.20 : x
  2. Step 2: Convert to fraction form
    275,429.20/413,143.80 = 157,331.20/x
  3. Step 3: Cross multiply
    275,429.20x = 413,143.80 × 157,331.20
  4. Step 4: Simplify right side
    275,429.20x = 65,000,409,826.56
  5. Step 5: Solve for x
    x = 65,000,409,826.56/275,429.20
  6. Step 6: Final answer
    x = 235,996.80

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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.