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Finding the Fourth Proportional to 275,787.80, 413,387.40 and 157,203.80

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Solution

The fourth proportional to 275,787.80, 413,387.40 and 157,203.80 is: 235,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,787.80 : 413,387.40 = 157,203.80 : x
  2. Step 2: Convert to fraction form
    275,787.80/413,387.40 = 157,203.80/x
  3. Step 3: Cross multiply
    275,787.80x = 413,387.40 × 157,203.80
  4. Step 4: Simplify right side
    275,787.80x = 64,986,070,152.12
  5. Step 5: Solve for x
    x = 64,986,070,152.12/275,787.80
  6. Step 6: Final answer
    x = 235,637.94

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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.