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Finding the Fourth Proportional to 472,215.69, 708,087.42 and 280,286.19

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Solution

The fourth proportional to 472,215.69, 708,087.42 and 280,286.19 is: 420,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,215.69 : 708,087.42 = 280,286.19 : x
  2. Step 2: Convert to fraction form
    472,215.69/708,087.42 = 280,286.19/x
  3. Step 3: Cross multiply
    472,215.69x = 708,087.42 × 280,286.19
  4. Step 4: Simplify right side
    472,215.69x = 198,467,125,138.73
  5. Step 5: Solve for x
    x = 198,467,125,138.73/472,215.69
  6. Step 6: Final answer
    x = 420,289.14

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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.