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Finding the Fourth Proportional to 322,908.72, 445,493.70 and 202,004.10

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Solution

The fourth proportional to 322,908.72, 445,493.70 and 202,004.10 is: 278,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,908.72 : 445,493.70 = 202,004.10 : x
  2. Step 2: Convert to fraction form
    322,908.72/445,493.70 = 202,004.10/x
  3. Step 3: Cross multiply
    322,908.72x = 445,493.70 × 202,004.10
  4. Step 4: Simplify right side
    322,908.72x = 89,991,553,924.17
  5. Step 5: Solve for x
    x = 89,991,553,924.17/322,908.72
  6. Step 6: Final answer
    x = 278,690.38

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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.