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Finding the Fourth Proportional to 408,486.60, 612,729.90 and 391,209.30

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Solution

The fourth proportional to 408,486.60, 612,729.90 and 391,209.30 is: 586,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,486.60 : 612,729.90 = 391,209.30 : x
  2. Step 2: Convert to fraction form
    408,486.60/612,729.90 = 391,209.30/x
  3. Step 3: Cross multiply
    408,486.60x = 612,729.90 × 391,209.30
  4. Step 4: Simplify right side
    408,486.60x = 239,705,635,268.07
  5. Step 5: Solve for x
    x = 239,705,635,268.07/408,486.60
  6. Step 6: Final answer
    x = 586,813.95

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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.