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Finding the Fourth Proportional to 287,538, 396,786.36 and 158,472.24

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Solution

The fourth proportional to 287,538, 396,786.36 and 158,472.24 is: 218,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,538 : 396,786.36 = 158,472.24 : x
  2. Step 2: Convert to fraction form
    287,538/396,786.36 = 158,472.24/x
  3. Step 3: Cross multiply
    287,538x = 396,786.36 × 158,472.24
  4. Step 4: Simplify right side
    287,538x = 62,879,623,270.65
  5. Step 5: Solve for x
    x = 62,879,623,270.65/287,538
  6. Step 6: Final answer
    x = 218,682.83

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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.