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Finding the Fourth Proportional to 277,179.12, 382,507.22 and 149,854.68

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Solution

The fourth proportional to 277,179.12, 382,507.22 and 149,854.68 is: 206,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,179.12 : 382,507.22 = 149,854.68 : x
  2. Step 2: Convert to fraction form
    277,179.12/382,507.22 = 149,854.68/x
  3. Step 3: Cross multiply
    277,179.12x = 382,507.22 × 149,854.68
  4. Step 4: Simplify right side
    277,179.12x = 57,320,496,301.52
  5. Step 5: Solve for x
    x = 57,320,496,301.52/277,179.12
  6. Step 6: Final answer
    x = 206,799.47

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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.