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Finding the Fourth Proportional to 286,205.50, 394,943.80 and 158,871.07

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Solution

The fourth proportional to 286,205.50, 394,943.80 and 158,871.07 is: 219,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,205.50 : 394,943.80 = 158,871.07 : x
  2. Step 2: Convert to fraction form
    286,205.50/394,943.80 = 158,871.07/x
  3. Step 3: Cross multiply
    286,205.50x = 394,943.80 × 158,871.07
  4. Step 4: Simplify right side
    286,205.50x = 62,745,141,326.79
  5. Step 5: Solve for x
    x = 62,745,141,326.79/286,205.50
  6. Step 6: Final answer
    x = 219,231.09

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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.