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Finding the Fourth Proportional to 287,456.58, 396,710.06 and 160,136.73

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Solution

The fourth proportional to 287,456.58, 396,710.06 and 160,136.73 is: 220,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,456.58 : 396,710.06 = 160,136.73 : x
  2. Step 2: Convert to fraction form
    287,456.58/396,710.06 = 160,136.73/x
  3. Step 3: Cross multiply
    287,456.58x = 396,710.06 × 160,136.73
  4. Step 4: Simplify right side
    287,456.58x = 63,527,850,965.82
  5. Step 5: Solve for x
    x = 63,527,850,965.82/287,456.58
  6. Step 6: Final answer
    x = 220,999.81

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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.