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Finding the Fourth Proportional to 282,029.76, 389,145.48 and 167,286.78

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Solution

The fourth proportional to 282,029.76, 389,145.48 and 167,286.78 is: 230,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,029.76 : 389,145.48 = 167,286.78 : x
  2. Step 2: Convert to fraction form
    282,029.76/389,145.48 = 167,286.78/x
  3. Step 3: Cross multiply
    282,029.76x = 389,145.48 × 167,286.78
  4. Step 4: Simplify right side
    282,029.76x = 65,098,894,300.75
  5. Step 5: Solve for x
    x = 65,098,894,300.75/282,029.76
  6. Step 6: Final answer
    x = 230,822.78

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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.