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Finding the Fourth Proportional to 398,967.15, 597,951.77 and 199,343.73

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Solution

The fourth proportional to 398,967.15, 597,951.77 and 199,343.73 is: 298,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,967.15 : 597,951.77 = 199,343.73 : x
  2. Step 2: Convert to fraction form
    398,967.15/597,951.77 = 199,343.73/x
  3. Step 3: Cross multiply
    398,967.15x = 597,951.77 × 199,343.73
  4. Step 4: Simplify right side
    398,967.15x = 119,197,935,195.18
  5. Step 5: Solve for x
    x = 119,197,935,195.18/398,967.15
  6. Step 6: Final answer
    x = 298,766.29

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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.