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Finding the Fourth Proportional to 408,133.68, 612,201.98 and 123,826.66

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Solution

The fourth proportional to 408,133.68, 612,201.98 and 123,826.66 is: 185,740.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,133.68 : 612,201.98 = 123,826.66 : x
  2. Step 2: Convert to fraction form
    408,133.68/612,201.98 = 123,826.66/x
  3. Step 3: Cross multiply
    408,133.68x = 612,201.98 × 123,826.66
  4. Step 4: Simplify right side
    408,133.68x = 75,806,926,428.79
  5. Step 5: Solve for x
    x = 75,806,926,428.79/408,133.68
  6. Step 6: Final answer
    x = 185,740.43

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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.