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Finding the Fourth Proportional to 257,204.37, 385,744.58 and 77,251.94

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Solution

The fourth proportional to 257,204.37, 385,744.58 and 77,251.94 is: 115,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,204.37 : 385,744.58 = 77,251.94 : x
  2. Step 2: Convert to fraction form
    257,204.37/385,744.58 = 77,251.94/x
  3. Step 3: Cross multiply
    257,204.37x = 385,744.58 × 77,251.94
  4. Step 4: Simplify right side
    257,204.37x = 29,799,517,149.49
  5. Step 5: Solve for x
    x = 29,799,517,149.49/257,204.37
  6. Step 6: Final answer
    x = 115,859.30

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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.