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Finding the Fourth Proportional to 298,665.10, 447,991.89 and 74,026

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Solution

The fourth proportional to 298,665.10, 447,991.89 and 74,026 is: 111,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,665.10 : 447,991.89 = 74,026 : x
  2. Step 2: Convert to fraction form
    298,665.10/447,991.89 = 74,026/x
  3. Step 3: Cross multiply
    298,665.10x = 447,991.89 × 74,026
  4. Step 4: Simplify right side
    298,665.10x = 33,163,047,649.14
  5. Step 5: Solve for x
    x = 33,163,047,649.14/298,665.10
  6. Step 6: Final answer
    x = 111,037.57

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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.