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Finding the Fourth Proportional to 398,469.30, 549,887.84 and 226,387.57

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Solution

The fourth proportional to 398,469.30, 549,887.84 and 226,387.57 is: 312,414.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,469.30 : 549,887.84 = 226,387.57 : x
  2. Step 2: Convert to fraction form
    398,469.30/549,887.84 = 226,387.57/x
  3. Step 3: Cross multiply
    398,469.30x = 549,887.84 × 226,387.57
  4. Step 4: Simplify right side
    398,469.30x = 124,487,771,870.15
  5. Step 5: Solve for x
    x = 124,487,771,870.15/398,469.30
  6. Step 6: Final answer
    x = 312,414.96

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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.