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Finding the Fourth Proportional to 309,910.71, 465,115.14 and 160,194.86

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Solution

The fourth proportional to 309,910.71, 465,115.14 and 160,194.86 is: 240,421.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,910.71 : 465,115.14 = 160,194.86 : x
  2. Step 2: Convert to fraction form
    309,910.71/465,115.14 = 160,194.86/x
  3. Step 3: Cross multiply
    309,910.71x = 465,115.14 × 160,194.86
  4. Step 4: Simplify right side
    309,910.71x = 74,509,052,410.60
  5. Step 5: Solve for x
    x = 74,509,052,410.60/309,910.71
  6. Step 6: Final answer
    x = 240,421.03

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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.