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Finding the Fourth Proportional to 260,809.60, 391,236 and 83,341.84

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Solution

The fourth proportional to 260,809.60, 391,236 and 83,341.84 is: 125,019.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,809.60 : 391,236 = 83,341.84 : x
  2. Step 2: Convert to fraction form
    260,809.60/391,236 = 83,341.84/x
  3. Step 3: Cross multiply
    260,809.60x = 391,236 × 83,341.84
  4. Step 4: Simplify right side
    260,809.60x = 32,606,328,114.24
  5. Step 5: Solve for x
    x = 32,606,328,114.24/260,809.60
  6. Step 6: Final answer
    x = 125,019.66

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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.