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Finding the Fourth Proportional to 275,721.66, 413,288.42 and 157,137.66

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Solution

The fourth proportional to 275,721.66, 413,288.42 and 157,137.66 is: 235,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,721.66 : 413,288.42 = 157,137.66 : x
  2. Step 2: Convert to fraction form
    275,721.66/413,288.42 = 157,137.66/x
  3. Step 3: Cross multiply
    275,721.66x = 413,288.42 × 157,137.66
  4. Step 4: Simplify right side
    275,721.66x = 64,943,175,223.90
  5. Step 5: Solve for x
    x = 64,943,175,223.90/275,721.66
  6. Step 6: Final answer
    x = 235,538.90

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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.