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Finding the Fourth Proportional to 431,894.04, 647,965.58 and 132,418.82

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Solution

The fourth proportional to 431,894.04, 647,965.58 and 132,418.82 is: 198,666.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,894.04 : 647,965.58 = 132,418.82 : x
  2. Step 2: Convert to fraction form
    431,894.04/647,965.58 = 132,418.82/x
  3. Step 3: Cross multiply
    431,894.04x = 647,965.58 × 132,418.82
  4. Step 4: Simplify right side
    431,894.04x = 85,802,837,504.22
  5. Step 5: Solve for x
    x = 85,802,837,504.22/431,894.04
  6. Step 6: Final answer
    x = 198,666.41

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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.