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Finding the Fourth Proportional to 431,212.20, 646,818.30 and 413,010.60

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Solution

The fourth proportional to 431,212.20, 646,818.30 and 413,010.60 is: 619,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,212.20 : 646,818.30 = 413,010.60 : x
  2. Step 2: Convert to fraction form
    431,212.20/646,818.30 = 413,010.60/x
  3. Step 3: Cross multiply
    431,212.20x = 646,818.30 × 413,010.60
  4. Step 4: Simplify right side
    431,212.20x = 267,142,814,173.98
  5. Step 5: Solve for x
    x = 267,142,814,173.98/431,212.20
  6. Step 6: Final answer
    x = 619,515.90

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Similar ratio
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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.