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Finding the Fourth Proportional to 319,270.88, 479,020.80 and 136,825.14

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Solution

The fourth proportional to 319,270.88, 479,020.80 and 136,825.14 is: 205,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,270.88 : 479,020.80 = 136,825.14 : x
  2. Step 2: Convert to fraction form
    319,270.88/479,020.80 = 136,825.14/x
  3. Step 3: Cross multiply
    319,270.88x = 479,020.80 × 136,825.14
  4. Step 4: Simplify right side
    319,270.88x = 65,542,088,022.91
  5. Step 5: Solve for x
    x = 65,542,088,022.91/319,270.88
  6. Step 6: Final answer
    x = 205,286.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.