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Finding the Fourth Proportional to 655,716, 982,990.46 and 256,265.94

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Solution

The fourth proportional to 655,716, 982,990.46 and 256,265.94 is: 384,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,716 : 982,990.46 = 256,265.94 : x
  2. Step 2: Convert to fraction form
    655,716/982,990.46 = 256,265.94/x
  3. Step 3: Cross multiply
    655,716x = 982,990.46 × 256,265.94
  4. Step 4: Simplify right side
    655,716x = 251,906,974,242.93
  5. Step 5: Solve for x
    x = 251,906,974,242.93/655,716
  6. Step 6: Final answer
    x = 384,170.85

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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.