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Finding the Fourth Proportional to 279,808.92, 386,123.22 and 158,947.20

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Solution

The fourth proportional to 279,808.92, 386,123.22 and 158,947.20 is: 219,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,808.92 : 386,123.22 = 158,947.20 : x
  2. Step 2: Convert to fraction form
    279,808.92/386,123.22 = 158,947.20/x
  3. Step 3: Cross multiply
    279,808.92x = 386,123.22 × 158,947.20
  4. Step 4: Simplify right side
    279,808.92x = 61,373,204,673.98
  5. Step 5: Solve for x
    x = 61,373,204,673.98/279,808.92
  6. Step 6: Final answer
    x = 219,339.70

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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.