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Finding the Fourth Proportional to 419,227.39, 628,938.56 and 119,712.07

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Solution

The fourth proportional to 419,227.39, 628,938.56 and 119,712.07 is: 179,595.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,227.39 : 628,938.56 = 119,712.07 : x
  2. Step 2: Convert to fraction form
    419,227.39/628,938.56 = 119,712.07/x
  3. Step 3: Cross multiply
    419,227.39x = 628,938.56 × 119,712.07
  4. Step 4: Simplify right side
    419,227.39x = 75,291,536,920.42
  5. Step 5: Solve for x
    x = 75,291,536,920.42/419,227.39
  6. Step 6: Final answer
    x = 179,595.94

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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.