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Finding the Fourth Proportional to 297,098.40, 409,997.52 and 169,778.64

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Solution

The fourth proportional to 297,098.40, 409,997.52 and 169,778.64 is: 234,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,098.40 : 409,997.52 = 169,778.64 : x
  2. Step 2: Convert to fraction form
    297,098.40/409,997.52 = 169,778.64/x
  3. Step 3: Cross multiply
    297,098.40x = 409,997.52 × 169,778.64
  4. Step 4: Simplify right side
    297,098.40x = 69,608,821,348.97
  5. Step 5: Solve for x
    x = 69,608,821,348.97/297,098.40
  6. Step 6: Final answer
    x = 234,295.51

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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.