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Finding the Fourth Proportional to 299,123.10, 412,791.17 and 163,159.97

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Solution

The fourth proportional to 299,123.10, 412,791.17 and 163,159.97 is: 225,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.10 : 412,791.17 = 163,159.97 : x
  2. Step 2: Convert to fraction form
    299,123.10/412,791.17 = 163,159.97/x
  3. Step 3: Cross multiply
    299,123.10x = 412,791.17 × 163,159.97
  4. Step 4: Simplify right side
    299,123.10x = 67,350,995,273.43
  5. Step 5: Solve for x
    x = 67,350,995,273.43/299,123.10
  6. Step 6: Final answer
    x = 225,161.46

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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.