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Finding the Fourth Proportional to 342,226.73, 512,978.11 and 128,902.34

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Solution

The fourth proportional to 342,226.73, 512,978.11 and 128,902.34 is: 193,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,226.73 : 512,978.11 = 128,902.34 : x
  2. Step 2: Convert to fraction form
    342,226.73/512,978.11 = 128,902.34/x
  3. Step 3: Cross multiply
    342,226.73x = 512,978.11 × 128,902.34
  4. Step 4: Simplify right side
    342,226.73x = 66,124,078,747.78
  5. Step 5: Solve for x
    x = 66,124,078,747.78/342,226.73
  6. Step 6: Final answer
    x = 193,217.17

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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.