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Finding the Fourth Proportional to 230,310.40, 317,682.97 and 158,565.86

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Solution

The fourth proportional to 230,310.40, 317,682.97 and 158,565.86 is: 218,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,310.40 : 317,682.97 = 158,565.86 : x
  2. Step 2: Convert to fraction form
    230,310.40/317,682.97 = 158,565.86/x
  3. Step 3: Cross multiply
    230,310.40x = 317,682.97 × 158,565.86
  4. Step 4: Simplify right side
    230,310.40x = 50,373,673,345.40
  5. Step 5: Solve for x
    x = 50,373,673,345.40/230,310.40
  6. Step 6: Final answer
    x = 218,720.79

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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.