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Finding the Fourth Proportional to 260,811.20, 391,216.80 and 243,315.20

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Solution

The fourth proportional to 260,811.20, 391,216.80 and 243,315.20 is: 364,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,811.20 : 391,216.80 = 243,315.20 : x
  2. Step 2: Convert to fraction form
    260,811.20/391,216.80 = 243,315.20/x
  3. Step 3: Cross multiply
    260,811.20x = 391,216.80 × 243,315.20
  4. Step 4: Simplify right side
    260,811.20x = 95,188,993,935.36
  5. Step 5: Solve for x
    x = 95,188,993,935.36/260,811.20
  6. Step 6: Final answer
    x = 364,972.80

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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.