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Finding the Fourth Proportional to 257,082.20, 385,770.84 and 200,764.20

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Solution

The fourth proportional to 257,082.20, 385,770.84 and 200,764.20 is: 301,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,082.20 : 385,770.84 = 200,764.20 : x
  2. Step 2: Convert to fraction form
    257,082.20/385,770.84 = 200,764.20/x
  3. Step 3: Cross multiply
    257,082.20x = 385,770.84 × 200,764.20
  4. Step 4: Simplify right side
    257,082.20x = 77,448,974,075.93
  5. Step 5: Solve for x
    x = 77,448,974,075.93/257,082.20
  6. Step 6: Final answer
    x = 301,261.52

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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.