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Finding the Fourth Proportional to 407,729.80, 611,691.90 and 197,194.60

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Solution

The fourth proportional to 407,729.80, 611,691.90 and 197,194.60 is: 295,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,729.80 : 611,691.90 = 197,194.60 : x
  2. Step 2: Convert to fraction form
    407,729.80/611,691.90 = 197,194.60/x
  3. Step 3: Cross multiply
    407,729.80x = 611,691.90 × 197,194.60
  4. Step 4: Simplify right side
    407,729.80x = 120,622,339,543.74
  5. Step 5: Solve for x
    x = 120,622,339,543.74/407,729.80
  6. Step 6: Final answer
    x = 295,838.91

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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.