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Finding the Fourth Proportional to 340,778.25, 470,254.78 and 187,815.96

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Solution

The fourth proportional to 340,778.25, 470,254.78 and 187,815.96 is: 259,175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,778.25 : 470,254.78 = 187,815.96 : x
  2. Step 2: Convert to fraction form
    340,778.25/470,254.78 = 187,815.96/x
  3. Step 3: Cross multiply
    340,778.25x = 470,254.78 × 187,815.96
  4. Step 4: Simplify right side
    340,778.25x = 88,321,352,950.29
  5. Step 5: Solve for x
    x = 88,321,352,950.29/340,778.25
  6. Step 6: Final answer
    x = 259,175.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.