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Finding the Fourth Proportional to 305,026.56, 420,835.68 and 184,122

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Solution

The fourth proportional to 305,026.56, 420,835.68 and 184,122 is: 254,027.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,026.56 : 420,835.68 = 184,122 : x
  2. Step 2: Convert to fraction form
    305,026.56/420,835.68 = 184,122/x
  3. Step 3: Cross multiply
    305,026.56x = 420,835.68 × 184,122
  4. Step 4: Simplify right side
    305,026.56x = 77,485,107,072.96
  5. Step 5: Solve for x
    x = 77,485,107,072.96/305,026.56
  6. Step 6: Final answer
    x = 254,027.41

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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.