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Finding the Fourth Proportional to 409,667, 614,499.60 and 110,147.60

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Solution

The fourth proportional to 409,667, 614,499.60 and 110,147.60 is: 165,221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,667 : 614,499.60 = 110,147.60 : x
  2. Step 2: Convert to fraction form
    409,667/614,499.60 = 110,147.60/x
  3. Step 3: Cross multiply
    409,667x = 614,499.60 × 110,147.60
  4. Step 4: Simplify right side
    409,667x = 67,685,656,140.96
  5. Step 5: Solve for x
    x = 67,685,656,140.96/409,667
  6. Step 6: Final answer
    x = 165,221.16

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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.