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Finding the Fourth Proportional to 289,517.76, 399,532.32 and 162,194.40

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Solution

The fourth proportional to 289,517.76, 399,532.32 and 162,194.40 is: 223,827.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,517.76 : 399,532.32 = 162,194.40 : x
  2. Step 2: Convert to fraction form
    289,517.76/399,532.32 = 162,194.40/x
  3. Step 3: Cross multiply
    289,517.76x = 399,532.32 × 162,194.40
  4. Step 4: Simplify right side
    289,517.76x = 64,801,904,923.01
  5. Step 5: Solve for x
    x = 64,801,904,923.01/289,517.76
  6. Step 6: Final answer
    x = 223,827.05

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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.