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Finding the Fourth Proportional to 257,378.30, 385,524.32 and 206,501.88

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Solution

The fourth proportional to 257,378.30, 385,524.32 and 206,501.88 is: 309,317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,378.30 : 385,524.32 = 206,501.88 : x
  2. Step 2: Convert to fraction form
    257,378.30/385,524.32 = 206,501.88/x
  3. Step 3: Cross multiply
    257,378.30x = 385,524.32 × 206,501.88
  4. Step 4: Simplify right side
    257,378.30x = 79,611,496,865.72
  5. Step 5: Solve for x
    x = 79,611,496,865.72/257,378.30
  6. Step 6: Final answer
    x = 309,317.05

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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.