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Finding the Fourth Proportional to 298,739.76, 447,371.70 and 222,655.80

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Solution

The fourth proportional to 298,739.76, 447,371.70 and 222,655.80 is: 333,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,739.76 : 447,371.70 = 222,655.80 : x
  2. Step 2: Convert to fraction form
    298,739.76/447,371.70 = 222,655.80/x
  3. Step 3: Cross multiply
    298,739.76x = 447,371.70 × 222,655.80
  4. Step 4: Simplify right side
    298,739.76x = 99,609,903,760.86
  5. Step 5: Solve for x
    x = 99,609,903,760.86/298,739.76
  6. Step 6: Final answer
    x = 333,433.70

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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.