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Finding the Fourth Proportional to 438,412.60, 656,306.70 and 412,460.20

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Solution

The fourth proportional to 438,412.60, 656,306.70 and 412,460.20 is: 617,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,412.60 : 656,306.70 = 412,460.20 : x
  2. Step 2: Convert to fraction form
    438,412.60/656,306.70 = 412,460.20/x
  3. Step 3: Cross multiply
    438,412.60x = 656,306.70 × 412,460.20
  4. Step 4: Simplify right side
    438,412.60x = 270,700,392,743.34
  5. Step 5: Solve for x
    x = 270,700,392,743.34/438,412.60
  6. Step 6: Final answer
    x = 617,455.78

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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.