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Finding the Fourth Proportional to 257,311.80, 385,968.63 and 182,204.76

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Solution

The fourth proportional to 257,311.80, 385,968.63 and 182,204.76 is: 273,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,311.80 : 385,968.63 = 182,204.76 : x
  2. Step 2: Convert to fraction form
    257,311.80/385,968.63 = 182,204.76/x
  3. Step 3: Cross multiply
    257,311.80x = 385,968.63 × 182,204.76
  4. Step 4: Simplify right side
    257,311.80x = 70,325,321,596.68
  5. Step 5: Solve for x
    x = 70,325,321,596.68/257,311.80
  6. Step 6: Final answer
    x = 273,307.80

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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.