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Finding the Fourth Proportional to 300,992.14, 415,422.06 and 228,634.66

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Solution

The fourth proportional to 300,992.14, 415,422.06 and 228,634.66 is: 315,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,992.14 : 415,422.06 = 228,634.66 : x
  2. Step 2: Convert to fraction form
    300,992.14/415,422.06 = 228,634.66/x
  3. Step 3: Cross multiply
    300,992.14x = 415,422.06 × 228,634.66
  4. Step 4: Simplify right side
    300,992.14x = 94,979,881,444.60
  5. Step 5: Solve for x
    x = 94,979,881,444.60/300,992.14
  6. Step 6: Final answer
    x = 315,556.02

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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.