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Finding the Fourth Proportional to 331,981.82, 458,104.14 and 188,713.88

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Solution

The fourth proportional to 331,981.82, 458,104.14 and 188,713.88 is: 260,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,981.82 : 458,104.14 = 188,713.88 : x
  2. Step 2: Convert to fraction form
    331,981.82/458,104.14 = 188,713.88/x
  3. Step 3: Cross multiply
    331,981.82x = 458,104.14 × 188,713.88
  4. Step 4: Simplify right side
    331,981.82x = 86,450,609,703.46
  5. Step 5: Solve for x
    x = 86,450,609,703.46/331,981.82
  6. Step 6: Final answer
    x = 260,407.66

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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.