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Finding the Fourth Proportional to 319,422.75, 479,215.13 and 119,743.71

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Solution

The fourth proportional to 319,422.75, 479,215.13 and 119,743.71 is: 179,645.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,422.75 : 479,215.13 = 119,743.71 : x
  2. Step 2: Convert to fraction form
    319,422.75/479,215.13 = 119,743.71/x
  3. Step 3: Cross multiply
    319,422.75x = 479,215.13 × 119,743.71
  4. Step 4: Simplify right side
    319,422.75x = 57,382,996,955.61
  5. Step 5: Solve for x
    x = 57,382,996,955.61/319,422.75
  6. Step 6: Final answer
    x = 179,645.93

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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.