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Finding the Fourth Proportional to 298,919.10, 448,378.65 and 121,431.90

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Solution

The fourth proportional to 298,919.10, 448,378.65 and 121,431.90 is: 182,147.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,919.10 : 448,378.65 = 121,431.90 : x
  2. Step 2: Convert to fraction form
    298,919.10/448,378.65 = 121,431.90/x
  3. Step 3: Cross multiply
    298,919.10x = 448,378.65 × 121,431.90
  4. Step 4: Simplify right side
    298,919.10x = 54,447,471,388.94
  5. Step 5: Solve for x
    x = 54,447,471,388.94/298,919.10
  6. Step 6: Final answer
    x = 182,147.85

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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.