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Finding the Fourth Proportional to 277,254.91, 382,610.37 and 149,930.20

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Solution

The fourth proportional to 277,254.91, 382,610.37 and 149,930.20 is: 206,902.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,254.91 : 382,610.37 = 149,930.20 : x
  2. Step 2: Convert to fraction form
    277,254.91/382,610.37 = 149,930.20/x
  3. Step 3: Cross multiply
    277,254.91x = 382,610.37 × 149,930.20
  4. Step 4: Simplify right side
    277,254.91x = 57,364,849,296.17
  5. Step 5: Solve for x
    x = 57,364,849,296.17/277,254.91
  6. Step 6: Final answer
    x = 206,902.92

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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.