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Finding the Fourth Proportional to 322,908.80, 445,624.48 and 202,011.36

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Solution

The fourth proportional to 322,908.80, 445,624.48 and 202,011.36 is: 278,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,908.80 : 445,624.48 = 202,011.36 : x
  2. Step 2: Convert to fraction form
    322,908.80/445,624.48 = 202,011.36/x
  3. Step 3: Cross multiply
    322,908.80x = 445,624.48 × 202,011.36
  4. Step 4: Simplify right side
    322,908.80x = 90,021,207,254.09
  5. Step 5: Solve for x
    x = 90,021,207,254.09/322,908.80
  6. Step 6: Final answer
    x = 278,782.14

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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.