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Finding the Fourth Proportional to 548,489.40, 822,734.10 and 398,412.60

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Solution

The fourth proportional to 548,489.40, 822,734.10 and 398,412.60 is: 597,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,489.40 : 822,734.10 = 398,412.60 : x
  2. Step 2: Convert to fraction form
    548,489.40/822,734.10 = 398,412.60/x
  3. Step 3: Cross multiply
    548,489.40x = 822,734.10 × 398,412.60
  4. Step 4: Simplify right side
    548,489.40x = 327,787,631,889.66
  5. Step 5: Solve for x
    x = 327,787,631,889.66/548,489.40
  6. Step 6: Final answer
    x = 597,618.90

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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.