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Finding the Fourth Proportional to 382,143.76, 573,217 and 115,906.56

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Solution

The fourth proportional to 382,143.76, 573,217 and 115,906.56 is: 173,860.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,143.76 : 573,217 = 115,906.56 : x
  2. Step 2: Convert to fraction form
    382,143.76/573,217 = 115,906.56/x
  3. Step 3: Cross multiply
    382,143.76x = 573,217 × 115,906.56
  4. Step 4: Simplify right side
    382,143.76x = 66,439,610,603.52
  5. Step 5: Solve for x
    x = 66,439,610,603.52/382,143.76
  6. Step 6: Final answer
    x = 173,860.25

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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.