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Finding the Fourth Proportional to 276,891.30, 382,110.12 and 149,566.86

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Solution

The fourth proportional to 276,891.30, 382,110.12 and 149,566.86 is: 206,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,891.30 : 382,110.12 = 149,566.86 : x
  2. Step 2: Convert to fraction form
    276,891.30/382,110.12 = 149,566.86/x
  3. Step 3: Cross multiply
    276,891.30x = 382,110.12 × 149,566.86
  4. Step 4: Simplify right side
    276,891.30x = 57,151,010,822.62
  5. Step 5: Solve for x
    x = 57,151,010,822.62/276,891.30
  6. Step 6: Final answer
    x = 206,402.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.