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Finding the Fourth Proportional to 282,052.80, 423,098.40 and 82,372.80

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Solution

The fourth proportional to 282,052.80, 423,098.40 and 82,372.80 is: 123,564.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,052.80 : 423,098.40 = 82,372.80 : x
  2. Step 2: Convert to fraction form
    282,052.80/423,098.40 = 82,372.80/x
  3. Step 3: Cross multiply
    282,052.80x = 423,098.40 × 82,372.80
  4. Step 4: Simplify right side
    282,052.80x = 34,851,799,883.52
  5. Step 5: Solve for x
    x = 34,851,799,883.52/282,052.80
  6. Step 6: Final answer
    x = 123,564.81

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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.