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Finding the Fourth Proportional to 291,218.92, 402,006.11 and 195,780.97

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Solution

The fourth proportional to 291,218.92, 402,006.11 and 195,780.97 is: 270,261.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,218.92 : 402,006.11 = 195,780.97 : x
  2. Step 2: Convert to fraction form
    291,218.92/402,006.11 = 195,780.97/x
  3. Step 3: Cross multiply
    291,218.92x = 402,006.11 × 195,780.97
  4. Step 4: Simplify right side
    291,218.92x = 78,705,146,161.73
  5. Step 5: Solve for x
    x = 78,705,146,161.73/291,218.92
  6. Step 6: Final answer
    x = 270,261.10

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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.