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Finding the Fourth Proportional to 431,383.40, 646,589.10 and 206,851.40

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Solution

The fourth proportional to 431,383.40, 646,589.10 and 206,851.40 is: 310,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,383.40 : 646,589.10 = 206,851.40 : x
  2. Step 2: Convert to fraction form
    431,383.40/646,589.10 = 206,851.40/x
  3. Step 3: Cross multiply
    431,383.40x = 646,589.10 × 206,851.40
  4. Step 4: Simplify right side
    431,383.40x = 133,747,860,559.74
  5. Step 5: Solve for x
    x = 133,747,860,559.74/431,383.40
  6. Step 6: Final answer
    x = 310,044.06

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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.