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Finding the Fourth Proportional to 230,745.34, 318,305.19 and 159,160.78

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Solution

The fourth proportional to 230,745.34, 318,305.19 and 159,160.78 is: 219,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,745.34 : 318,305.19 = 159,160.78 : x
  2. Step 2: Convert to fraction form
    230,745.34/318,305.19 = 159,160.78/x
  3. Step 3: Cross multiply
    230,745.34x = 318,305.19 × 159,160.78
  4. Step 4: Simplify right side
    230,745.34x = 50,661,702,318.45
  5. Step 5: Solve for x
    x = 50,661,702,318.45/230,745.34
  6. Step 6: Final answer
    x = 219,556.77

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1.5x scale

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.