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Finding the Fourth Proportional to 398,517.81, 549,960.37 and 217,229.78

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Solution

The fourth proportional to 398,517.81, 549,960.37 and 217,229.78 is: 299,780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,517.81 : 549,960.37 = 217,229.78 : x
  2. Step 2: Convert to fraction form
    398,517.81/549,960.37 = 217,229.78/x
  3. Step 3: Cross multiply
    398,517.81x = 549,960.37 × 217,229.78
  4. Step 4: Simplify right side
    398,517.81x = 119,467,771,015.65
  5. Step 5: Solve for x
    x = 119,467,771,015.65/398,517.81
  6. Step 6: Final answer
    x = 299,780.26

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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.