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Finding the Fourth Proportional to 255,229.27, 382,844.03 and 105,304.78

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Solution

The fourth proportional to 255,229.27, 382,844.03 and 105,304.78 is: 157,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,229.27 : 382,844.03 = 105,304.78 : x
  2. Step 2: Convert to fraction form
    255,229.27/382,844.03 = 105,304.78/x
  3. Step 3: Cross multiply
    255,229.27x = 382,844.03 × 105,304.78
  4. Step 4: Simplify right side
    255,229.27x = 40,315,306,353.46
  5. Step 5: Solve for x
    x = 40,315,306,353.46/255,229.27
  6. Step 6: Final answer
    x = 157,957.22

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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.