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Finding the Fourth Proportional to 389,920.78, 584,762.10 and 165,277

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Solution

The fourth proportional to 389,920.78, 584,762.10 and 165,277 is: 247,865.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,920.78 : 584,762.10 = 165,277 : x
  2. Step 2: Convert to fraction form
    389,920.78/584,762.10 = 165,277/x
  3. Step 3: Cross multiply
    389,920.78x = 584,762.10 × 165,277
  4. Step 4: Simplify right side
    389,920.78x = 96,647,725,601.70
  5. Step 5: Solve for x
    x = 96,647,725,601.70/389,920.78
  6. Step 6: Final answer
    x = 247,865.03

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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.