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Finding the Fourth Proportional to 408,187.76, 612,282.86 and 123,880.60

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Solution

The fourth proportional to 408,187.76, 612,282.86 and 123,880.60 is: 185,821.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,187.76 : 612,282.86 = 123,880.60 : x
  2. Step 2: Convert to fraction form
    408,187.76/612,282.86 = 123,880.60/x
  3. Step 3: Cross multiply
    408,187.76x = 612,282.86 × 123,880.60
  4. Step 4: Simplify right side
    408,187.76x = 75,849,964,385.70
  5. Step 5: Solve for x
    x = 75,849,964,385.70/408,187.76
  6. Step 6: Final answer
    x = 185,821.26

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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.