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Finding the Fourth Proportional to 398,388.26, 549,761.82 and 217,096.49

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Solution

The fourth proportional to 398,388.26, 549,761.82 and 217,096.49 is: 299,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,388.26 : 549,761.82 = 217,096.49 : x
  2. Step 2: Convert to fraction form
    398,388.26/549,761.82 = 217,096.49/x
  3. Step 3: Cross multiply
    398,388.26x = 549,761.82 × 217,096.49
  4. Step 4: Simplify right side
    398,388.26x = 119,351,358,709.20
  5. Step 5: Solve for x
    x = 119,351,358,709.20/398,388.26
  6. Step 6: Final answer
    x = 299,585.54

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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.