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Finding the Fourth Proportional to 278,058.80, 383,706.21 and 157,192.88

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Solution

The fourth proportional to 278,058.80, 383,706.21 and 157,192.88 is: 216,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,058.80 : 383,706.21 = 157,192.88 : x
  2. Step 2: Convert to fraction form
    278,058.80/383,706.21 = 157,192.88/x
  3. Step 3: Cross multiply
    278,058.80x = 383,706.21 × 157,192.88
  4. Step 4: Simplify right side
    278,058.80x = 60,315,882,305.25
  5. Step 5: Solve for x
    x = 60,315,882,305.25/278,058.80
  6. Step 6: Final answer
    x = 216,917.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.