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Finding the Fourth Proportional to 320,219.10, 480,338.38 and 109,854

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Solution

The fourth proportional to 320,219.10, 480,338.38 and 109,854 is: 164,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,219.10 : 480,338.38 = 109,854 : x
  2. Step 2: Convert to fraction form
    320,219.10/480,338.38 = 109,854/x
  3. Step 3: Cross multiply
    320,219.10x = 480,338.38 × 109,854
  4. Step 4: Simplify right side
    320,219.10x = 52,767,092,396.52
  5. Step 5: Solve for x
    x = 52,767,092,396.52/320,219.10
  6. Step 6: Final answer
    x = 164,784.34

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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.