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Finding the Fourth Proportional to 282,340.20, 422,819.10 and 134,423.40

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Solution

The fourth proportional to 282,340.20, 422,819.10 and 134,423.40 is: 201,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,340.20 : 422,819.10 = 134,423.40 : x
  2. Step 2: Convert to fraction form
    282,340.20/422,819.10 = 134,423.40/x
  3. Step 3: Cross multiply
    282,340.20x = 422,819.10 × 134,423.40
  4. Step 4: Simplify right side
    282,340.20x = 56,836,781,006.94
  5. Step 5: Solve for x
    x = 56,836,781,006.94/282,340.20
  6. Step 6: Final answer
    x = 201,306.02

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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.