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Finding the Fourth Proportional to 320,408.02, 480,644.90 and 120,896.29

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Solution

The fourth proportional to 320,408.02, 480,644.90 and 120,896.29 is: 181,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,408.02 : 480,644.90 = 120,896.29 : x
  2. Step 2: Convert to fraction form
    320,408.02/480,644.90 = 120,896.29/x
  3. Step 3: Cross multiply
    320,408.02x = 480,644.90 × 120,896.29
  4. Step 4: Simplify right side
    320,408.02x = 58,108,182,209.72
  5. Step 5: Solve for x
    x = 58,108,182,209.72/320,408.02
  6. Step 6: Final answer
    x = 181,356.83

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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.