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Finding the Fourth Proportional to 398,516.38, 549,945.50 and 217,229.86

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Solution

The fourth proportional to 398,516.38, 549,945.50 and 217,229.86 is: 299,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,516.38 : 549,945.50 = 217,229.86 : x
  2. Step 2: Convert to fraction form
    398,516.38/549,945.50 = 217,229.86/x
  3. Step 3: Cross multiply
    398,516.38x = 549,945.50 × 217,229.86
  4. Step 4: Simplify right side
    398,516.38x = 119,464,583,972.63
  5. Step 5: Solve for x
    x = 119,464,583,972.63/398,516.38
  6. Step 6: Final answer
    x = 299,773.33

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1.5x scale

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.