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Finding the Fourth Proportional to 289,745.10, 434,617.65 and 278,081.10

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Solution

The fourth proportional to 289,745.10, 434,617.65 and 278,081.10 is: 417,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,745.10 : 434,617.65 = 278,081.10 : x
  2. Step 2: Convert to fraction form
    289,745.10/434,617.65 = 278,081.10/x
  3. Step 3: Cross multiply
    289,745.10x = 434,617.65 × 278,081.10
  4. Step 4: Simplify right side
    289,745.10x = 120,858,954,191.42
  5. Step 5: Solve for x
    x = 120,858,954,191.42/289,745.10
  6. Step 6: Final answer
    x = 417,121.65

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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.