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Finding the Fourth Proportional to 280,710.72, 421,067.91 and 112,245.21

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Solution

The fourth proportional to 280,710.72, 421,067.91 and 112,245.21 is: 168,368.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,710.72 : 421,067.91 = 112,245.21 : x
  2. Step 2: Convert to fraction form
    280,710.72/421,067.91 = 112,245.21/x
  3. Step 3: Cross multiply
    280,710.72x = 421,067.91 × 112,245.21
  4. Step 4: Simplify right side
    280,710.72x = 47,262,855,982.21
  5. Step 5: Solve for x
    x = 47,262,855,982.21/280,710.72
  6. Step 6: Final answer
    x = 168,368.55

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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.