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Finding the Fourth Proportional to 408,124.80, 612,187.20 and 257,877.90

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Solution

The fourth proportional to 408,124.80, 612,187.20 and 257,877.90 is: 386,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,124.80 : 612,187.20 = 257,877.90 : x
  2. Step 2: Convert to fraction form
    408,124.80/612,187.20 = 257,877.90/x
  3. Step 3: Cross multiply
    408,124.80x = 612,187.20 × 257,877.90
  4. Step 4: Simplify right side
    408,124.80x = 157,869,549,542.88
  5. Step 5: Solve for x
    x = 157,869,549,542.88/408,124.80
  6. Step 6: Final answer
    x = 386,816.85

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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.