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Finding the Fourth Proportional to 260,742.80, 391,114.20 and 243,117.20

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Solution

The fourth proportional to 260,742.80, 391,114.20 and 243,117.20 is: 364,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,742.80 : 391,114.20 = 243,117.20 : x
  2. Step 2: Convert to fraction form
    260,742.80/391,114.20 = 243,117.20/x
  3. Step 3: Cross multiply
    260,742.80x = 391,114.20 × 243,117.20
  4. Step 4: Simplify right side
    260,742.80x = 95,086,589,184.24
  5. Step 5: Solve for x
    x = 95,086,589,184.24/260,742.80
  6. Step 6: Final answer
    x = 364,675.80

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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.