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Finding the Fourth Proportional to 298,740.66, 447,892.28 and 140,883

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Solution

The fourth proportional to 298,740.66, 447,892.28 and 140,883 is: 211,221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,740.66 : 447,892.28 = 140,883 : x
  2. Step 2: Convert to fraction form
    298,740.66/447,892.28 = 140,883/x
  3. Step 3: Cross multiply
    298,740.66x = 447,892.28 × 140,883
  4. Step 4: Simplify right side
    298,740.66x = 63,100,407,378.83
  5. Step 5: Solve for x
    x = 63,100,407,378.83/298,740.66
  6. Step 6: Final answer
    x = 211,221.36

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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.