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Finding the Fourth Proportional to 280,476.27, 420,464.32 and 102,942.09

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Solution

The fourth proportional to 280,476.27, 420,464.32 and 102,942.09 is: 154,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,476.27 : 420,464.32 = 102,942.09 : x
  2. Step 2: Convert to fraction form
    280,476.27/420,464.32 = 102,942.09/x
  3. Step 3: Cross multiply
    280,476.27x = 420,464.32 × 102,942.09
  4. Step 4: Simplify right side
    280,476.27x = 43,283,475,613.87
  5. Step 5: Solve for x
    x = 43,283,475,613.87/280,476.27
  6. Step 6: Final answer
    x = 154,321.35

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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.