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Finding the Fourth Proportional to 320,511.20, 480,183.60 and 261,024.80

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Solution

The fourth proportional to 320,511.20, 480,183.60 and 261,024.80 is: 391,062.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,511.20 : 480,183.60 = 261,024.80 : x
  2. Step 2: Convert to fraction form
    320,511.20/480,183.60 = 261,024.80/x
  3. Step 3: Cross multiply
    320,511.20x = 480,183.60 × 261,024.80
  4. Step 4: Simplify right side
    320,511.20x = 125,339,828,153.28
  5. Step 5: Solve for x
    x = 125,339,828,153.28/320,511.20
  6. Step 6: Final answer
    x = 391,062.24

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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.