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Finding the Fourth Proportional to 305,015.06, 420,819.90 and 184,110.41

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Solution

The fourth proportional to 305,015.06, 420,819.90 and 184,110.41 is: 254,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,015.06 : 420,819.90 = 184,110.41 : x
  2. Step 2: Convert to fraction form
    305,015.06/420,819.90 = 184,110.41/x
  3. Step 3: Cross multiply
    305,015.06x = 420,819.90 × 184,110.41
  4. Step 4: Simplify right side
    305,015.06x = 77,477,324,325.16
  5. Step 5: Solve for x
    x = 77,477,324,325.16/305,015.06
  6. Step 6: Final answer
    x = 254,011.47

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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.