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Finding the Fourth Proportional to 260,840.56, 391,113.92 and 83,305.84

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Solution

The fourth proportional to 260,840.56, 391,113.92 and 83,305.84 is: 124,911.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,840.56 : 391,113.92 = 83,305.84 : x
  2. Step 2: Convert to fraction form
    260,840.56/391,113.92 = 83,305.84/x
  3. Step 3: Cross multiply
    260,840.56x = 391,113.92 × 83,305.84
  4. Step 4: Simplify right side
    260,840.56x = 32,582,073,641.29
  5. Step 5: Solve for x
    x = 32,582,073,641.29/260,840.56
  6. Step 6: Final answer
    x = 124,911.84

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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.