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Finding the Fourth Proportional to 408,035.20, 612,139.20 and 123,702.40

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Solution

The fourth proportional to 408,035.20, 612,139.20 and 123,702.40 is: 185,579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,035.20 : 612,139.20 = 123,702.40 : x
  2. Step 2: Convert to fraction form
    408,035.20/612,139.20 = 123,702.40/x
  3. Step 3: Cross multiply
    408,035.20x = 612,139.20 × 123,702.40
  4. Step 4: Simplify right side
    408,035.20x = 75,723,088,174.08
  5. Step 5: Solve for x
    x = 75,723,088,174.08/408,035.20
  6. Step 6: Final answer
    x = 185,579.79

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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.