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Finding the Fourth Proportional to 282,431.52, 423,705.60 and 82,758.42

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Solution

The fourth proportional to 282,431.52, 423,705.60 and 82,758.42 is: 124,154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,431.52 : 423,705.60 = 82,758.42 : x
  2. Step 2: Convert to fraction form
    282,431.52/423,705.60 = 82,758.42/x
  3. Step 3: Cross multiply
    282,431.52x = 423,705.60 × 82,758.42
  4. Step 4: Simplify right side
    282,431.52x = 35,065,206,001.15
  5. Step 5: Solve for x
    x = 35,065,206,001.15/282,431.52
  6. Step 6: Final answer
    x = 124,154.72

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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.