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Finding the Fourth Proportional to 275,882, 380,717.56 and 156,650

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Solution

The fourth proportional to 275,882, 380,717.56 and 156,650 is: 216,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,882 : 380,717.56 = 156,650 : x
  2. Step 2: Convert to fraction form
    275,882/380,717.56 = 156,650/x
  3. Step 3: Cross multiply
    275,882x = 380,717.56 × 156,650
  4. Step 4: Simplify right side
    275,882x = 59,639,405,774
  5. Step 5: Solve for x
    x = 59,639,405,774/275,882
  6. Step 6: Final answer
    x = 216,177.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.