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Finding the Fourth Proportional to 431,194.60, 645,563.10 and 418,906.60

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Solution

The fourth proportional to 431,194.60, 645,563.10 and 418,906.60 is: 627,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,194.60 : 645,563.10 = 418,906.60 : x
  2. Step 2: Convert to fraction form
    431,194.60/645,563.10 = 418,906.60/x
  3. Step 3: Cross multiply
    431,194.60x = 645,563.10 × 418,906.60
  4. Step 4: Simplify right side
    431,194.60x = 270,430,643,306.46
  5. Step 5: Solve for x
    x = 270,430,643,306.46/431,194.60
  6. Step 6: Final answer
    x = 627,166.12

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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.