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Finding the Fourth Proportional to 647,416.20, 971,404.16 and 347,546.60

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Solution

The fourth proportional to 647,416.20, 971,404.16 and 347,546.60 is: 521,470.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,416.20 : 971,404.16 = 347,546.60 : x
  2. Step 2: Convert to fraction form
    647,416.20/971,404.16 = 347,546.60/x
  3. Step 3: Cross multiply
    647,416.20x = 971,404.16 × 347,546.60
  4. Step 4: Simplify right side
    647,416.20x = 337,608,206,439.10
  5. Step 5: Solve for x
    x = 337,608,206,439.10/647,416.20
  6. Step 6: Final answer
    x = 521,470.12

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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.