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Finding the Fourth Proportional to 431,599.80, 646,233.30 and 338,287.80

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Solution

The fourth proportional to 431,599.80, 646,233.30 and 338,287.80 is: 506,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,599.80 : 646,233.30 = 338,287.80 : x
  2. Step 2: Convert to fraction form
    431,599.80/646,233.30 = 338,287.80/x
  3. Step 3: Cross multiply
    431,599.80x = 646,233.30 × 338,287.80
  4. Step 4: Simplify right side
    431,599.80x = 218,612,841,343.74
  5. Step 5: Solve for x
    x = 218,612,841,343.74/431,599.80
  6. Step 6: Final answer
    x = 506,517.48

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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.