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Finding the Fourth Proportional to 399,245.85, 550,967.61 and 217,965.42

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Solution

The fourth proportional to 399,245.85, 550,967.61 and 217,965.42 is: 300,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,245.85 : 550,967.61 = 217,965.42 : x
  2. Step 2: Convert to fraction form
    399,245.85/550,967.61 = 217,965.42/x
  3. Step 3: Cross multiply
    399,245.85x = 550,967.61 × 217,965.42
  4. Step 4: Simplify right side
    399,245.85x = 120,091,887,337.42
  5. Step 5: Solve for x
    x = 120,091,887,337.42/399,245.85
  6. Step 6: Final answer
    x = 300,796.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.