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Finding the Fourth Proportional to 289,098.32, 398,972.40 and 161,772.80

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Solution

The fourth proportional to 289,098.32, 398,972.40 and 161,772.80 is: 223,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,098.32 : 398,972.40 = 161,772.80 : x
  2. Step 2: Convert to fraction form
    289,098.32/398,972.40 = 161,772.80/x
  3. Step 3: Cross multiply
    289,098.32x = 398,972.40 × 161,772.80
  4. Step 4: Simplify right side
    289,098.32x = 64,542,882,270.72
  5. Step 5: Solve for x
    x = 64,542,882,270.72/289,098.32
  6. Step 6: Final answer
    x = 223,255.82

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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.