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Finding the Fourth Proportional to 340,286.88, 469,595.90 and 189,419.52

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Solution

The fourth proportional to 340,286.88, 469,595.90 and 189,419.52 is: 261,398.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,286.88 : 469,595.90 = 189,419.52 : x
  2. Step 2: Convert to fraction form
    340,286.88/469,595.90 = 189,419.52/x
  3. Step 3: Cross multiply
    340,286.88x = 469,595.90 × 189,419.52
  4. Step 4: Simplify right side
    340,286.88x = 88,950,629,971.97
  5. Step 5: Solve for x
    x = 88,950,629,971.97/340,286.88
  6. Step 6: Final answer
    x = 261,398.94

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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.