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Finding the Fourth Proportional to 287,462.41, 396,745.37 and 160,179.01

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Solution

The fourth proportional to 287,462.41, 396,745.37 and 160,179.01 is: 221,073.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,462.41 : 396,745.37 = 160,179.01 : x
  2. Step 2: Convert to fraction form
    287,462.41/396,745.37 = 160,179.01/x
  3. Step 3: Cross multiply
    287,462.41x = 396,745.37 × 160,179.01
  4. Step 4: Simplify right side
    287,462.41x = 63,550,279,787.79
  5. Step 5: Solve for x
    x = 63,550,279,787.79/287,462.41
  6. Step 6: Final answer
    x = 221,073.36

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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.