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Finding the Fourth Proportional to 419,277.67, 628,908.91 and 103,734.47

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Solution

The fourth proportional to 419,277.67, 628,908.91 and 103,734.47 is: 155,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,277.67 : 628,908.91 = 103,734.47 : x
  2. Step 2: Convert to fraction form
    419,277.67/628,908.91 = 103,734.47/x
  3. Step 3: Cross multiply
    419,277.67x = 628,908.91 × 103,734.47
  4. Step 4: Simplify right side
    419,277.67x = 65,239,533,770.06
  5. Step 5: Solve for x
    x = 65,239,533,770.06/419,277.67
  6. Step 6: Final answer
    x = 155,599.83

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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.