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Finding the Fourth Proportional to 260,428.68, 359,399.16 and 147,249

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Solution

The fourth proportional to 260,428.68, 359,399.16 and 147,249 is: 203,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,428.68 : 359,399.16 = 147,249 : x
  2. Step 2: Convert to fraction form
    260,428.68/359,399.16 = 147,249/x
  3. Step 3: Cross multiply
    260,428.68x = 359,399.16 × 147,249
  4. Step 4: Simplify right side
    260,428.68x = 52,921,166,910.84
  5. Step 5: Solve for x
    x = 52,921,166,910.84/260,428.68
  6. Step 6: Final answer
    x = 203,207.91

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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.