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Finding the Fourth Proportional to 398,725.52, 550,254.92 and 226,650.69

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Solution

The fourth proportional to 398,725.52, 550,254.92 and 226,650.69 is: 312,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,725.52 : 550,254.92 = 226,650.69 : x
  2. Step 2: Convert to fraction form
    398,725.52/550,254.92 = 226,650.69/x
  3. Step 3: Cross multiply
    398,725.52x = 550,254.92 × 226,650.69
  4. Step 4: Simplify right side
    398,725.52x = 124,715,656,160.64
  5. Step 5: Solve for x
    x = 124,715,656,160.64/398,725.52
  6. Step 6: Final answer
    x = 312,785.74

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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.