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Finding the Fourth Proportional to 431,560.60, 647,317.52 and 132,041.23

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Solution

The fourth proportional to 431,560.60, 647,317.52 and 132,041.23 is: 198,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,560.60 : 647,317.52 = 132,041.23 : x
  2. Step 2: Convert to fraction form
    431,560.60/647,317.52 = 132,041.23/x
  3. Step 3: Cross multiply
    431,560.60x = 647,317.52 × 132,041.23
  4. Step 4: Simplify right side
    431,560.60x = 85,472,600,881.14
  5. Step 5: Solve for x
    x = 85,472,600,881.14/431,560.60
  6. Step 6: Final answer
    x = 198,054.69

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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.