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Finding the Fourth Proportional to 399,909.43, 599,743.05 and 210,267.64

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Solution

The fourth proportional to 399,909.43, 599,743.05 and 210,267.64 is: 315,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,909.43 : 599,743.05 = 210,267.64 : x
  2. Step 2: Convert to fraction form
    399,909.43/599,743.05 = 210,267.64/x
  3. Step 3: Cross multiply
    399,909.43x = 599,743.05 × 210,267.64
  4. Step 4: Simplify right side
    399,909.43x = 126,106,555,729.90
  5. Step 5: Solve for x
    x = 126,106,555,729.90/399,909.43
  6. Step 6: Final answer
    x = 315,337.79

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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.