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Finding the Fourth Proportional to 305,760.72, 421,988.56 and 184,902.80

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Solution

The fourth proportional to 305,760.72, 421,988.56 and 184,902.80 is: 255,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,760.72 : 421,988.56 = 184,902.80 : x
  2. Step 2: Convert to fraction form
    305,760.72/421,988.56 = 184,902.80/x
  3. Step 3: Cross multiply
    305,760.72x = 421,988.56 × 184,902.80
  4. Step 4: Simplify right side
    305,760.72x = 78,026,866,311.97
  5. Step 5: Solve for x
    x = 78,026,866,311.97/305,760.72
  6. Step 6: Final answer
    x = 255,189.31

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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.