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Finding the Fourth Proportional to 305,764.72, 421,994.08 and 184,906.80

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Solution

The fourth proportional to 305,764.72, 421,994.08 and 184,906.80 is: 255,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,764.72 : 421,994.08 = 184,906.80 : x
  2. Step 2: Convert to fraction form
    305,764.72/421,994.08 = 184,906.80/x
  3. Step 3: Cross multiply
    305,764.72x = 421,994.08 × 184,906.80
  4. Step 4: Simplify right side
    305,764.72x = 78,029,574,951.74
  5. Step 5: Solve for x
    x = 78,029,574,951.74/305,764.72
  6. Step 6: Final answer
    x = 255,194.83

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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.