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Finding the Fourth Proportional to 287,462.66, 396,745.71 and 160,179.26

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Solution

The fourth proportional to 287,462.66, 396,745.71 and 160,179.26 is: 221,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,462.66 : 396,745.71 = 160,179.26 : x
  2. Step 2: Convert to fraction form
    287,462.66/396,745.71 = 160,179.26/x
  3. Step 3: Cross multiply
    287,462.66x = 396,745.71 × 160,179.26
  4. Step 4: Simplify right side
    287,462.66x = 63,550,434,235.97
  5. Step 5: Solve for x
    x = 63,550,434,235.97/287,462.66
  6. Step 6: Final answer
    x = 221,073.70

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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.