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Finding the Fourth Proportional to 408,346.64, 612,471.36 and 108,849.68

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Solution

The fourth proportional to 408,346.64, 612,471.36 and 108,849.68 is: 163,261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,346.64 : 612,471.36 = 108,849.68 : x
  2. Step 2: Convert to fraction form
    408,346.64/612,471.36 = 108,849.68/x
  3. Step 3: Cross multiply
    408,346.64x = 612,471.36 × 108,849.68
  4. Step 4: Simplify right side
    408,346.64x = 66,667,311,545.16
  5. Step 5: Solve for x
    x = 66,667,311,545.16/408,346.64
  6. Step 6: Final answer
    x = 163,261.57

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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.