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Finding the Fourth Proportional to 320,498.30, 480,408.46 and 120,732.24

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Solution

The fourth proportional to 320,498.30, 480,408.46 and 120,732.24 is: 180,970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,498.30 : 480,408.46 = 120,732.24 : x
  2. Step 2: Convert to fraction form
    320,498.30/480,408.46 = 120,732.24/x
  3. Step 3: Cross multiply
    320,498.30x = 480,408.46 × 120,732.24
  4. Step 4: Simplify right side
    320,498.30x = 58,000,789,490.75
  5. Step 5: Solve for x
    x = 58,000,789,490.75/320,498.30
  6. Step 6: Final answer
    x = 180,970.66

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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.