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Finding the Fourth Proportional to 438,422.60, 656,321.70 and 412,470.20

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Solution

The fourth proportional to 438,422.60, 656,321.70 and 412,470.20 is: 617,470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,422.60 : 656,321.70 = 412,470.20 : x
  2. Step 2: Convert to fraction form
    438,422.60/656,321.70 = 412,470.20/x
  3. Step 3: Cross multiply
    438,422.60x = 656,321.70 × 412,470.20
  4. Step 4: Simplify right side
    438,422.60x = 270,713,142,863.34
  5. Step 5: Solve for x
    x = 270,713,142,863.34/438,422.60
  6. Step 6: Final answer
    x = 617,470.78

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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.