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Finding the Fourth Proportional to 311,916.60, 465,618.60 and 274,082.70

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Solution

The fourth proportional to 311,916.60, 465,618.60 and 274,082.70 is: 409,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,916.60 : 465,618.60 = 274,082.70 : x
  2. Step 2: Convert to fraction form
    311,916.60/465,618.60 = 274,082.70/x
  3. Step 3: Cross multiply
    311,916.60x = 465,618.60 × 274,082.70
  4. Step 4: Simplify right side
    311,916.60x = 127,618,003,058.22
  5. Step 5: Solve for x
    x = 127,618,003,058.22/311,916.60
  6. Step 6: Final answer
    x = 409,141.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.