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Finding the Fourth Proportional to 257,114.70, 385,672.05 and 182,319.30

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Solution

The fourth proportional to 257,114.70, 385,672.05 and 182,319.30 is: 273,478.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,114.70 : 385,672.05 = 182,319.30 : x
  2. Step 2: Convert to fraction form
    257,114.70/385,672.05 = 182,319.30/x
  3. Step 3: Cross multiply
    257,114.70x = 385,672.05 × 182,319.30
  4. Step 4: Simplify right side
    257,114.70x = 70,315,458,185.57
  5. Step 5: Solve for x
    x = 70,315,458,185.57/257,114.70
  6. Step 6: Final answer
    x = 273,478.95

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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.