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Finding the Fourth Proportional to 280,313.20, 420,469.80 and 231,105.70

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Solution

The fourth proportional to 280,313.20, 420,469.80 and 231,105.70 is: 346,658.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,313.20 : 420,469.80 = 231,105.70 : x
  2. Step 2: Convert to fraction form
    280,313.20/420,469.80 = 231,105.70/x
  3. Step 3: Cross multiply
    280,313.20x = 420,469.80 × 231,105.70
  4. Step 4: Simplify right side
    280,313.20x = 97,172,967,457.86
  5. Step 5: Solve for x
    x = 97,172,967,457.86/280,313.20
  6. Step 6: Final answer
    x = 346,658.55

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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.