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Finding the Fourth Proportional to 257,377.30, 385,522.83 and 206,500.88

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Solution

The fourth proportional to 257,377.30, 385,522.83 and 206,500.88 is: 309,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,377.30 : 385,522.83 = 206,500.88 : x
  2. Step 2: Convert to fraction form
    257,377.30/385,522.83 = 206,500.88/x
  3. Step 3: Cross multiply
    257,377.30x = 385,522.83 × 206,500.88
  4. Step 4: Simplify right side
    257,377.30x = 79,610,801,658.78
  5. Step 5: Solve for x
    x = 79,610,801,658.78/257,377.30
  6. Step 6: Final answer
    x = 309,315.55

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1.5x scale

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.