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Finding the Fourth Proportional to 408,078.20, 612,117.30 and 380,084.60

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Solution

The fourth proportional to 408,078.20, 612,117.30 and 380,084.60 is: 570,126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,078.20 : 612,117.30 = 380,084.60 : x
  2. Step 2: Convert to fraction form
    408,078.20/612,117.30 = 380,084.60/x
  3. Step 3: Cross multiply
    408,078.20x = 612,117.30 × 380,084.60
  4. Step 4: Simplify right side
    408,078.20x = 232,656,359,123.58
  5. Step 5: Solve for x
    x = 232,656,359,123.58/408,078.20
  6. Step 6: Final answer
    x = 570,126.90

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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.