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Finding the Fourth Proportional to 320,216.10, 480,333.87 and 109,851

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Solution

The fourth proportional to 320,216.10, 480,333.87 and 109,851 is: 164,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,216.10 : 480,333.87 = 109,851 : x
  2. Step 2: Convert to fraction form
    320,216.10/480,333.87 = 109,851/x
  3. Step 3: Cross multiply
    320,216.10x = 480,333.87 × 109,851
  4. Step 4: Simplify right side
    320,216.10x = 52,765,155,953.37
  5. Step 5: Solve for x
    x = 52,765,155,953.37/320,216.10
  6. Step 6: Final answer
    x = 164,779.83

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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.