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Finding the Fourth Proportional to 291,754.58, 434,563.55 and 278,103.38

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Solution

The fourth proportional to 291,754.58, 434,563.55 and 278,103.38 is: 414,230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,754.58 : 434,563.55 = 278,103.38 : x
  2. Step 2: Convert to fraction form
    291,754.58/434,563.55 = 278,103.38/x
  3. Step 3: Cross multiply
    291,754.58x = 434,563.55 × 278,103.38
  4. Step 4: Simplify right side
    291,754.58x = 120,853,589,559.35
  5. Step 5: Solve for x
    x = 120,853,589,559.35/291,754.58
  6. Step 6: Final answer
    x = 414,230.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.