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Finding the Fourth Proportional to 298,985.76, 448,426.80 and 111,958.56

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Solution

The fourth proportional to 298,985.76, 448,426.80 and 111,958.56 is: 167,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,985.76 : 448,426.80 = 111,958.56 : x
  2. Step 2: Convert to fraction form
    298,985.76/448,426.80 = 111,958.56/x
  3. Step 3: Cross multiply
    298,985.76x = 448,426.80 × 111,958.56
  4. Step 4: Simplify right side
    298,985.76x = 50,205,218,793.41
  5. Step 5: Solve for x
    x = 50,205,218,793.41/298,985.76
  6. Step 6: Final answer
    x = 167,918.43

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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.