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Finding the Fourth Proportional to 282,076.80, 423,134.40 and 82,396.80

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Solution

The fourth proportional to 282,076.80, 423,134.40 and 82,396.80 is: 123,600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,076.80 : 423,134.40 = 82,396.80 : x
  2. Step 2: Convert to fraction form
    282,076.80/423,134.40 = 82,396.80/x
  3. Step 3: Cross multiply
    282,076.80x = 423,134.40 × 82,396.80
  4. Step 4: Simplify right side
    282,076.80x = 34,864,920,529.92
  5. Step 5: Solve for x
    x = 34,864,920,529.92/282,076.80
  6. Step 6: Final answer
    x = 123,600.81

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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.