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Finding the Fourth Proportional to 398,505.57, 549,921.15 and 217,213.52

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Solution

The fourth proportional to 398,505.57, 549,921.15 and 217,213.52 is: 299,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,505.57 : 549,921.15 = 217,213.52 : x
  2. Step 2: Convert to fraction form
    398,505.57/549,921.15 = 217,213.52/x
  3. Step 3: Cross multiply
    398,505.57x = 549,921.15 × 217,213.52
  4. Step 4: Simplify right side
    398,505.57x = 119,450,310,604.30
  5. Step 5: Solve for x
    x = 119,450,310,604.30/398,505.57
  6. Step 6: Final answer
    x = 299,745.65

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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.