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Finding the Fourth Proportional to 391,014.20, 586,404.30 and 203,923.64

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Solution

The fourth proportional to 391,014.20, 586,404.30 and 203,923.64 is: 305,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,014.20 : 586,404.30 = 203,923.64 : x
  2. Step 2: Convert to fraction form
    391,014.20/586,404.30 = 203,923.64/x
  3. Step 3: Cross multiply
    391,014.20x = 586,404.30 × 203,923.64
  4. Step 4: Simplify right side
    391,014.20x = 119,581,699,367.65
  5. Step 5: Solve for x
    x = 119,581,699,367.65/391,014.20
  6. Step 6: Final answer
    x = 305,824.44

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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.