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Finding the Fourth Proportional to 398,321.82, 549,677.17 and 217,035.24

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Solution

The fourth proportional to 398,321.82, 549,677.17 and 217,035.24 is: 299,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,321.82 : 549,677.17 = 217,035.24 : x
  2. Step 2: Convert to fraction form
    398,321.82/549,677.17 = 217,035.24/x
  3. Step 3: Cross multiply
    398,321.82x = 549,677.17 × 217,035.24
  4. Step 4: Simplify right side
    398,321.82x = 119,299,316,513.47
  5. Step 5: Solve for x
    x = 119,299,316,513.47/398,321.82
  6. Step 6: Final answer
    x = 299,504.85

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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.