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Finding the Fourth Proportional to 319,838.91, 441,192.65 and 206,661.66

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Solution

The fourth proportional to 319,838.91, 441,192.65 and 206,661.66 is: 285,073.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,838.91 : 441,192.65 = 206,661.66 : x
  2. Step 2: Convert to fraction form
    319,838.91/441,192.65 = 206,661.66/x
  3. Step 3: Cross multiply
    319,838.91x = 441,192.65 × 206,661.66
  4. Step 4: Simplify right side
    319,838.91x = 91,177,604,395.49
  5. Step 5: Solve for x
    x = 91,177,604,395.49/319,838.91
  6. Step 6: Final answer
    x = 285,073.52

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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.