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Finding the Fourth Proportional to 389,715.88, 584,634.96 and 165,076.96

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Solution

The fourth proportional to 389,715.88, 584,634.96 and 165,076.96 is: 247,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,715.88 : 584,634.96 = 165,076.96 : x
  2. Step 2: Convert to fraction form
    389,715.88/584,634.96 = 165,076.96/x
  3. Step 3: Cross multiply
    389,715.88x = 584,634.96 × 165,076.96
  4. Step 4: Simplify right side
    389,715.88x = 96,509,761,906.52
  5. Step 5: Solve for x
    x = 96,509,761,906.52/389,715.88
  6. Step 6: Final answer
    x = 247,641.34

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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.