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Finding the Fourth Proportional to 282,489.70, 423,626.10 and 120,280.90

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Solution

The fourth proportional to 282,489.70, 423,626.10 and 120,280.90 is: 180,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,489.70 : 423,626.10 = 120,280.90 : x
  2. Step 2: Convert to fraction form
    282,489.70/423,626.10 = 120,280.90/x
  3. Step 3: Cross multiply
    282,489.70x = 423,626.10 × 120,280.90
  4. Step 4: Simplify right side
    282,489.70x = 50,954,128,532.25
  5. Step 5: Solve for x
    x = 50,954,128,532.25/282,489.70
  6. Step 6: Final answer
    x = 180,375.17

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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.