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Finding the Fourth Proportional to 305,753.67, 421,872.12 and 184,892.42

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Solution

The fourth proportional to 305,753.67, 421,872.12 and 184,892.42 is: 255,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,753.67 : 421,872.12 = 184,892.42 : x
  2. Step 2: Convert to fraction form
    305,753.67/421,872.12 = 184,892.42/x
  3. Step 3: Cross multiply
    305,753.67x = 421,872.12 × 184,892.42
  4. Step 4: Simplify right side
    305,753.67x = 78,000,958,252.01
  5. Step 5: Solve for x
    x = 78,000,958,252.01/305,753.67
  6. Step 6: Final answer
    x = 255,110.46

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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.