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Finding the Fourth Proportional to 389,916.78, 584,756.10 and 165,273

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Solution

The fourth proportional to 389,916.78, 584,756.10 and 165,273 is: 247,859.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,916.78 : 584,756.10 = 165,273 : x
  2. Step 2: Convert to fraction form
    389,916.78/584,756.10 = 165,273/x
  3. Step 3: Cross multiply
    389,916.78x = 584,756.10 × 165,273
  4. Step 4: Simplify right side
    389,916.78x = 96,644,394,915.30
  5. Step 5: Solve for x
    x = 96,644,394,915.30/389,916.78
  6. Step 6: Final answer
    x = 247,859.03

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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.