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Finding the Fourth Proportional to 275,201.64, 412,793.82 and 78,209.64

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Solution

The fourth proportional to 275,201.64, 412,793.82 and 78,209.64 is: 117,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,201.64 : 412,793.82 = 78,209.64 : x
  2. Step 2: Convert to fraction form
    275,201.64/412,793.82 = 78,209.64/x
  3. Step 3: Cross multiply
    275,201.64x = 412,793.82 × 78,209.64
  4. Step 4: Simplify right side
    275,201.64x = 32,284,456,056.42
  5. Step 5: Solve for x
    x = 32,284,456,056.42/275,201.64
  6. Step 6: Final answer
    x = 117,312.00

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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.