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Finding the Fourth Proportional to 280,299.08, 420,198.64 and 102,764.72

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Solution

The fourth proportional to 280,299.08, 420,198.64 and 102,764.72 is: 154,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,299.08 : 420,198.64 = 102,764.72 : x
  2. Step 2: Convert to fraction form
    280,299.08/420,198.64 = 102,764.72/x
  3. Step 3: Cross multiply
    280,299.08x = 420,198.64 × 102,764.72
  4. Step 4: Simplify right side
    280,299.08x = 43,181,592,969.16
  5. Step 5: Solve for x
    x = 43,181,592,969.16/280,299.08
  6. Step 6: Final answer
    x = 154,055.42

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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.