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Finding the Fourth Proportional to 260,435.68, 359,408.82 and 147,256

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Solution

The fourth proportional to 260,435.68, 359,408.82 and 147,256 is: 203,217.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,435.68 : 359,408.82 = 147,256 : x
  2. Step 2: Convert to fraction form
    260,435.68/359,408.82 = 147,256/x
  3. Step 3: Cross multiply
    260,435.68x = 359,408.82 × 147,256
  4. Step 4: Simplify right side
    260,435.68x = 52,925,105,197.92
  5. Step 5: Solve for x
    x = 52,925,105,197.92/260,435.68
  6. Step 6: Final answer
    x = 203,217.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.