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Finding the Fourth Proportional to 318,280.32, 477,433.44 and 131,274

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Solution

The fourth proportional to 318,280.32, 477,433.44 and 131,274 is: 196,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,280.32 : 477,433.44 = 131,274 : x
  2. Step 2: Convert to fraction form
    318,280.32/477,433.44 = 131,274/x
  3. Step 3: Cross multiply
    318,280.32x = 477,433.44 × 131,274
  4. Step 4: Simplify right side
    318,280.32x = 62,674,597,402.56
  5. Step 5: Solve for x
    x = 62,674,597,402.56/318,280.32
  6. Step 6: Final answer
    x = 196,916.35

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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.