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Finding the Fourth Proportional to 280,013.40, 420,020.10 and 180,286.20

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Solution

The fourth proportional to 280,013.40, 420,020.10 and 180,286.20 is: 270,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,013.40 : 420,020.10 = 180,286.20 : x
  2. Step 2: Convert to fraction form
    280,013.40/420,020.10 = 180,286.20/x
  3. Step 3: Cross multiply
    280,013.40x = 420,020.10 × 180,286.20
  4. Step 4: Simplify right side
    280,013.40x = 75,723,827,752.62
  5. Step 5: Solve for x
    x = 75,723,827,752.62/280,013.40
  6. Step 6: Final answer
    x = 270,429.30

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1.5x scale

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.