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Finding the Fourth Proportional to 305,321.64, 421,333.86 and 184,441.83

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Solution

The fourth proportional to 305,321.64, 421,333.86 and 184,441.83 is: 254,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,321.64 : 421,333.86 = 184,441.83 : x
  2. Step 2: Convert to fraction form
    305,321.64/421,333.86 = 184,441.83/x
  3. Step 3: Cross multiply
    305,321.64x = 421,333.86 × 184,441.83
  4. Step 4: Simplify right side
    305,321.64x = 77,711,588,179.36
  5. Step 5: Solve for x
    x = 77,711,588,179.36/305,321.64
  6. Step 6: Final answer
    x = 254,523.68

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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.