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Finding the Fourth Proportional to 275,785.24, 380,583.42 and 156,553.24

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Solution

The fourth proportional to 275,785.24, 380,583.42 and 156,553.24 is: 216,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,785.24 : 380,583.42 = 156,553.24 : x
  2. Step 2: Convert to fraction form
    275,785.24/380,583.42 = 156,553.24/x
  3. Step 3: Cross multiply
    275,785.24x = 380,583.42 × 156,553.24
  4. Step 4: Simplify right side
    275,785.24x = 59,581,567,491.28
  5. Step 5: Solve for x
    x = 59,581,567,491.28/275,785.24
  6. Step 6: Final answer
    x = 216,043.35

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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.