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Finding the Fourth Proportional to 398,469.24, 549,887.76 and 226,387.50

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Solution

The fourth proportional to 398,469.24, 549,887.76 and 226,387.50 is: 312,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,469.24 : 549,887.76 = 226,387.50 : x
  2. Step 2: Convert to fraction form
    398,469.24/549,887.76 = 226,387.50/x
  3. Step 3: Cross multiply
    398,469.24x = 549,887.76 × 226,387.50
  4. Step 4: Simplify right side
    398,469.24x = 124,487,715,267
  5. Step 5: Solve for x
    x = 124,487,715,267/398,469.24
  6. Step 6: Final answer
    x = 312,414.87

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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.