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Finding the Fourth Proportional to 664,501.70, 996,205.80 and 285,713.30

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Solution

The fourth proportional to 664,501.70, 996,205.80 and 285,713.30 is: 428,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,501.70 : 996,205.80 = 285,713.30 : x
  2. Step 2: Convert to fraction form
    664,501.70/996,205.80 = 285,713.30/x
  3. Step 3: Cross multiply
    664,501.70x = 996,205.80 × 285,713.30
  4. Step 4: Simplify right side
    664,501.70x = 284,629,246,597.14
  5. Step 5: Solve for x
    x = 284,629,246,597.14/664,501.70
  6. Step 6: Final answer
    x = 428,334.87

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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.