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Finding the Fourth Proportional to 282,473.84, 423,723.56 and 80,084.45

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Solution

The fourth proportional to 282,473.84, 423,723.56 and 80,084.45 is: 120,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,473.84 : 423,723.56 = 80,084.45 : x
  2. Step 2: Convert to fraction form
    282,473.84/423,723.56 = 80,084.45/x
  3. Step 3: Cross multiply
    282,473.84x = 423,723.56 × 80,084.45
  4. Step 4: Simplify right side
    282,473.84x = 33,933,665,735.60
  5. Step 5: Solve for x
    x = 33,933,665,735.60/282,473.84
  6. Step 6: Final answer
    x = 120,130.30

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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.