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Finding the Fourth Proportional to 275,884, 380,720.32 and 156,652

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Solution

The fourth proportional to 275,884, 380,720.32 and 156,652 is: 216,179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,884 : 380,720.32 = 156,652 : x
  2. Step 2: Convert to fraction form
    275,884/380,720.32 = 156,652/x
  3. Step 3: Cross multiply
    275,884x = 380,720.32 × 156,652
  4. Step 4: Simplify right side
    275,884x = 59,640,599,568.64
  5. Step 5: Solve for x
    x = 59,640,599,568.64/275,884
  6. Step 6: Final answer
    x = 216,179.99

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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.