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Finding the Fourth Proportional to 265,178.31, 397,793.40 and 78,243.27

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Solution

The fourth proportional to 265,178.31, 397,793.40 and 78,243.27 is: 117,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,178.31 : 397,793.40 = 78,243.27 : x
  2. Step 2: Convert to fraction form
    265,178.31/397,793.40 = 78,243.27/x
  3. Step 3: Cross multiply
    265,178.31x = 397,793.40 × 78,243.27
  4. Step 4: Simplify right side
    265,178.31x = 31,124,656,400.42
  5. Step 5: Solve for x
    x = 31,124,656,400.42/265,178.31
  6. Step 6: Final answer
    x = 117,372.56

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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.