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Finding the Fourth Proportional to 828,471.60, 1,241,690.22 and 428,884.74

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Solution

The fourth proportional to 828,471.60, 1,241,690.22 and 428,884.74 is: 642,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,471.60 : 1,241,690.22 = 428,884.74 : x
  2. Step 2: Convert to fraction form
    828,471.60/1,241,690.22 = 428,884.74/x
  3. Step 3: Cross multiply
    828,471.60x = 1,241,690.22 × 428,884.74
  4. Step 4: Simplify right side
    828,471.60x = 532,541,987,165.24
  5. Step 5: Solve for x
    x = 532,541,987,165.24/828,471.60
  6. Step 6: Final answer
    x = 642,800.53

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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.