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Finding the Fourth Proportional to 398,930.32, 550,524.36 and 217,641.68

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Solution

The fourth proportional to 398,930.32, 550,524.36 and 217,641.68 is: 300,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,930.32 : 550,524.36 = 217,641.68 : x
  2. Step 2: Convert to fraction form
    398,930.32/550,524.36 = 217,641.68/x
  3. Step 3: Cross multiply
    398,930.32x = 550,524.36 × 217,641.68
  4. Step 4: Simplify right side
    398,930.32x = 119,817,046,591.33
  5. Step 5: Solve for x
    x = 119,817,046,591.33/398,930.32
  6. Step 6: Final answer
    x = 300,345.80

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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.