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Finding the Fourth Proportional to 426,874.24, 640,380.84 and 199,397.28

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Solution

The fourth proportional to 426,874.24, 640,380.84 and 199,397.28 is: 299,128.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,874.24 : 640,380.84 = 199,397.28 : x
  2. Step 2: Convert to fraction form
    426,874.24/640,380.84 = 199,397.28/x
  3. Step 3: Cross multiply
    426,874.24x = 640,380.84 × 199,397.28
  4. Step 4: Simplify right side
    426,874.24x = 127,690,197,660.12
  5. Step 5: Solve for x
    x = 127,690,197,660.12/426,874.24
  6. Step 6: Final answer
    x = 299,128.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.