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Finding the Fourth Proportional to 322,782, 445,439.16 and 181,470

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Solution

The fourth proportional to 322,782, 445,439.16 and 181,470 is: 250,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,782 : 445,439.16 = 181,470 : x
  2. Step 2: Convert to fraction form
    322,782/445,439.16 = 181,470/x
  3. Step 3: Cross multiply
    322,782x = 445,439.16 × 181,470
  4. Step 4: Simplify right side
    322,782x = 80,833,844,365.20
  5. Step 5: Solve for x
    x = 80,833,844,365.20/322,782
  6. Step 6: Final answer
    x = 250,428.60

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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.