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Finding the Fourth Proportional to 492,697.25, 680,107.08 and 322,942.31

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Solution

The fourth proportional to 492,697.25, 680,107.08 and 322,942.31 is: 445,781.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,697.25 : 680,107.08 = 322,942.31 : x
  2. Step 2: Convert to fraction form
    492,697.25/680,107.08 = 322,942.31/x
  3. Step 3: Cross multiply
    492,697.25x = 680,107.08 × 322,942.31
  4. Step 4: Simplify right side
    492,697.25x = 219,635,348,062.02
  5. Step 5: Solve for x
    x = 219,635,348,062.02/492,697.25
  6. Step 6: Final answer
    x = 445,781.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.