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Finding the Fourth Proportional to 265,176.31, 397,790.39 and 78,241.27

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Solution

The fourth proportional to 265,176.31, 397,790.39 and 78,241.27 is: 117,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,176.31 : 397,790.39 = 78,241.27 : x
  2. Step 2: Convert to fraction form
    265,176.31/397,790.39 = 78,241.27/x
  3. Step 3: Cross multiply
    265,176.31x = 397,790.39 × 78,241.27
  4. Step 4: Simplify right side
    265,176.31x = 31,123,624,916.19
  5. Step 5: Solve for x
    x = 31,123,624,916.19/265,176.31
  6. Step 6: Final answer
    x = 117,369.55

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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.