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Finding the Fourth Proportional to 342,179.46, 472,210.71 and 189,228

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Solution

The fourth proportional to 342,179.46, 472,210.71 and 189,228 is: 261,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,179.46 : 472,210.71 = 189,228 : x
  2. Step 2: Convert to fraction form
    342,179.46/472,210.71 = 189,228/x
  3. Step 3: Cross multiply
    342,179.46x = 472,210.71 × 189,228
  4. Step 4: Simplify right side
    342,179.46x = 89,355,488,231.88
  5. Step 5: Solve for x
    x = 89,355,488,231.88/342,179.46
  6. Step 6: Final answer
    x = 261,136.33

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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.