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Finding the Fourth Proportional to 282,018.71, 422,982.71 and 82,292.29

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Solution

The fourth proportional to 282,018.71, 422,982.71 and 82,292.29 is: 123,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,018.71 : 422,982.71 = 82,292.29 : x
  2. Step 2: Convert to fraction form
    282,018.71/422,982.71 = 82,292.29/x
  3. Step 3: Cross multiply
    282,018.71x = 422,982.71 × 82,292.29
  4. Step 4: Simplify right side
    282,018.71x = 34,808,214,675.98
  5. Step 5: Solve for x
    x = 34,808,214,675.98/282,018.71
  6. Step 6: Final answer
    x = 123,425.20

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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.