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Finding the Fourth Proportional to 260,998.36, 391,523.46 and 83,460.76

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Solution

The fourth proportional to 260,998.36, 391,523.46 and 83,460.76 is: 125,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,998.36 : 391,523.46 = 83,460.76 : x
  2. Step 2: Convert to fraction form
    260,998.36/391,523.46 = 83,460.76/x
  3. Step 3: Cross multiply
    260,998.36x = 391,523.46 × 83,460.76
  4. Step 4: Simplify right side
    260,998.36x = 32,676,845,529.43
  5. Step 5: Solve for x
    x = 32,676,845,529.43/260,998.36
  6. Step 6: Final answer
    x = 125,199.43

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1.5x scale

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.