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Finding the Fourth Proportional to 298,741.66, 447,893.77 and 140,884

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Solution

The fourth proportional to 298,741.66, 447,893.77 and 140,884 is: 211,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,741.66 : 447,893.77 = 140,884 : x
  2. Step 2: Convert to fraction form
    298,741.66/447,893.77 = 140,884/x
  3. Step 3: Cross multiply
    298,741.66x = 447,893.77 × 140,884
  4. Step 4: Simplify right side
    298,741.66x = 63,101,065,892.68
  5. Step 5: Solve for x
    x = 63,101,065,892.68/298,741.66
  6. Step 6: Final answer
    x = 211,222.85

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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.