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Finding the Fourth Proportional to 281,057.78, 387,849.90 and 160,237.97

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Solution

The fourth proportional to 281,057.78, 387,849.90 and 160,237.97 is: 221,122.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,057.78 : 387,849.90 = 160,237.97 : x
  2. Step 2: Convert to fraction form
    281,057.78/387,849.90 = 160,237.97/x
  3. Step 3: Cross multiply
    281,057.78x = 387,849.90 × 160,237.97
  4. Step 4: Simplify right side
    281,057.78x = 62,148,280,640.70
  5. Step 5: Solve for x
    x = 62,148,280,640.70/281,057.78
  6. Step 6: Final answer
    x = 221,122.79

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1.5x scale

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.