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Finding the Fourth Proportional to 299,147.73, 448,723.25 and 74,508.18

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Solution

The fourth proportional to 299,147.73, 448,723.25 and 74,508.18 is: 111,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,147.73 : 448,723.25 = 74,508.18 : x
  2. Step 2: Convert to fraction form
    299,147.73/448,723.25 = 74,508.18/x
  3. Step 3: Cross multiply
    299,147.73x = 448,723.25 × 74,508.18
  4. Step 4: Simplify right side
    299,147.73x = 33,433,550,905.34
  5. Step 5: Solve for x
    x = 33,433,550,905.34/299,147.73
  6. Step 6: Final answer
    x = 111,762.68

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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.