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Finding the Fourth Proportional to 287,965.26, 397,390.86 and 160,640.96

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Solution

The fourth proportional to 287,965.26, 397,390.86 and 160,640.96 is: 221,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,965.26 : 397,390.86 = 160,640.96 : x
  2. Step 2: Convert to fraction form
    287,965.26/397,390.86 = 160,640.96/x
  3. Step 3: Cross multiply
    287,965.26x = 397,390.86 × 160,640.96
  4. Step 4: Simplify right side
    287,965.26x = 63,837,247,258.67
  5. Step 5: Solve for x
    x = 63,837,247,258.67/287,965.26
  6. Step 6: Final answer
    x = 221,683.85

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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.