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Finding the Fourth Proportional to 280,286.36, 420,179.49 and 102,751.91

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Solution

The fourth proportional to 280,286.36, 420,179.49 and 102,751.91 is: 154,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,286.36 : 420,179.49 = 102,751.91 : x
  2. Step 2: Convert to fraction form
    280,286.36/420,179.49 = 102,751.91/x
  3. Step 3: Cross multiply
    280,286.36x = 420,179.49 × 102,751.91
  4. Step 4: Simplify right side
    280,286.36x = 43,174,243,039.43
  5. Step 5: Solve for x
    x = 43,174,243,039.43/280,286.36
  6. Step 6: Final answer
    x = 154,036.19

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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.