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Finding the Fourth Proportional to 320,561.40, 480,819.36 and 110,194.68

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Solution

The fourth proportional to 320,561.40, 480,819.36 and 110,194.68 is: 165,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,561.40 : 480,819.36 = 110,194.68 : x
  2. Step 2: Convert to fraction form
    320,561.40/480,819.36 = 110,194.68/x
  3. Step 3: Cross multiply
    320,561.40x = 480,819.36 × 110,194.68
  4. Step 4: Simplify right side
    320,561.40x = 52,983,735,513.00
  5. Step 5: Solve for x
    x = 52,983,735,513.00/320,561.40
  6. Step 6: Final answer
    x = 165,284.20

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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.