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Finding the Fourth Proportional to 272,516.60, 408,847.80 and 193,784.60

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Solution

The fourth proportional to 272,516.60, 408,847.80 and 193,784.60 is: 290,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,516.60 : 408,847.80 = 193,784.60 : x
  2. Step 2: Convert to fraction form
    272,516.60/408,847.80 = 193,784.60/x
  3. Step 3: Cross multiply
    272,516.60x = 408,847.80 × 193,784.60
  4. Step 4: Simplify right side
    272,516.60x = 79,228,407,383.88
  5. Step 5: Solve for x
    x = 79,228,407,383.88/272,516.60
  6. Step 6: Final answer
    x = 290,728.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.