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Finding the Fourth Proportional to 322,915.28, 445,688.52 and 188,822.48

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Solution

The fourth proportional to 322,915.28, 445,688.52 and 188,822.48 is: 260,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,915.28 : 445,688.52 = 188,822.48 : x
  2. Step 2: Convert to fraction form
    322,915.28/445,688.52 = 188,822.48/x
  3. Step 3: Cross multiply
    322,915.28x = 445,688.52 × 188,822.48
  4. Step 4: Simplify right side
    322,915.28x = 84,156,011,653.93
  5. Step 5: Solve for x
    x = 84,156,011,653.93/322,915.28
  6. Step 6: Final answer
    x = 260,613.28

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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.