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Finding the Fourth Proportional to 322,787.25, 445,500.45 and 186,797.76

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Solution

The fourth proportional to 322,787.25, 445,500.45 and 186,797.76 is: 257,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,787.25 : 445,500.45 = 186,797.76 : x
  2. Step 2: Convert to fraction form
    322,787.25/445,500.45 = 186,797.76/x
  3. Step 3: Cross multiply
    322,787.25x = 445,500.45 × 186,797.76
  4. Step 4: Simplify right side
    322,787.25x = 83,218,486,138.99
  5. Step 5: Solve for x
    x = 83,218,486,138.99/322,787.25
  6. Step 6: Final answer
    x = 257,812.18

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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.