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Finding the Fourth Proportional to 320,408.52, 480,645.65 and 120,896.79

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Solution

The fourth proportional to 320,408.52, 480,645.65 and 120,896.79 is: 181,357.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,408.52 : 480,645.65 = 120,896.79 : x
  2. Step 2: Convert to fraction form
    320,408.52/480,645.65 = 120,896.79/x
  3. Step 3: Cross multiply
    320,408.52x = 480,645.65 × 120,896.79
  4. Step 4: Simplify right side
    320,408.52x = 58,108,516,212.46
  5. Step 5: Solve for x
    x = 58,108,516,212.46/320,408.52
  6. Step 6: Final answer
    x = 181,357.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.