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Finding the Fourth Proportional to 331,810.74, 497,766.33 and 121,398.66

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Solution

The fourth proportional to 331,810.74, 497,766.33 and 121,398.66 is: 182,116.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,810.74 : 497,766.33 = 121,398.66 : x
  2. Step 2: Convert to fraction form
    331,810.74/497,766.33 = 121,398.66/x
  3. Step 3: Cross multiply
    331,810.74x = 497,766.33 × 121,398.66
  4. Step 4: Simplify right side
    331,810.74x = 60,428,165,455.12
  5. Step 5: Solve for x
    x = 60,428,165,455.12/331,810.74
  6. Step 6: Final answer
    x = 182,116.36

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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.