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Finding the Fourth Proportional to 228,321.89, 342,475.77 and 108,465.12

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Solution

The fourth proportional to 228,321.89, 342,475.77 and 108,465.12 is: 162,694.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,321.89 : 342,475.77 = 108,465.12 : x
  2. Step 2: Convert to fraction form
    228,321.89/342,475.77 = 108,465.12/x
  3. Step 3: Cross multiply
    228,321.89x = 342,475.77 × 108,465.12
  4. Step 4: Simplify right side
    228,321.89x = 37,146,673,235.44
  5. Step 5: Solve for x
    x = 37,146,673,235.44/228,321.89
  6. Step 6: Final answer
    x = 162,694.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.