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Finding the Fourth Proportional to 300,427.11, 414,634.95 and 171,364.95

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Solution

The fourth proportional to 300,427.11, 414,634.95 and 171,364.95 is: 236,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,427.11 : 414,634.95 = 171,364.95 : x
  2. Step 2: Convert to fraction form
    300,427.11/414,634.95 = 171,364.95/x
  3. Step 3: Cross multiply
    300,427.11x = 414,634.95 × 171,364.95
  4. Step 4: Simplify right side
    300,427.11x = 71,053,897,475.00
  5. Step 5: Solve for x
    x = 71,053,897,475.00/300,427.11
  6. Step 6: Final answer
    x = 236,509.61

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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.