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Finding the Fourth Proportional to 431,454.88, 647,138.58 and 115,870.78

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Solution

The fourth proportional to 431,454.88, 647,138.58 and 115,870.78 is: 173,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,454.88 : 647,138.58 = 115,870.78 : x
  2. Step 2: Convert to fraction form
    431,454.88/647,138.58 = 115,870.78/x
  3. Step 3: Cross multiply
    431,454.88x = 647,138.58 × 115,870.78
  4. Step 4: Simplify right side
    431,454.88x = 74,984,452,032.69
  5. Step 5: Solve for x
    x = 74,984,452,032.69/431,454.88
  6. Step 6: Final answer
    x = 173,794.42

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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.