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Finding the Fourth Proportional to 289,099.32, 398,973.78 and 161,773.80

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Solution

The fourth proportional to 289,099.32, 398,973.78 and 161,773.80 is: 223,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,099.32 : 398,973.78 = 161,773.80 : x
  2. Step 2: Convert to fraction form
    289,099.32/398,973.78 = 161,773.80/x
  3. Step 3: Cross multiply
    289,099.32x = 398,973.78 × 161,773.80
  4. Step 4: Simplify right side
    289,099.32x = 64,543,504,490.96
  5. Step 5: Solve for x
    x = 64,543,504,490.96/289,099.32
  6. Step 6: Final answer
    x = 223,257.20

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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.