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Finding the Fourth Proportional to 287,358.26, 396,566.70 and 160,033.85

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Solution

The fourth proportional to 287,358.26, 396,566.70 and 160,033.85 is: 220,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,358.26 : 396,566.70 = 160,033.85 : x
  2. Step 2: Convert to fraction form
    287,358.26/396,566.70 = 160,033.85/x
  3. Step 3: Cross multiply
    287,358.26x = 396,566.70 × 160,033.85
  4. Step 4: Simplify right side
    287,358.26x = 63,464,096,027.35
  5. Step 5: Solve for x
    x = 63,464,096,027.35/287,358.26
  6. Step 6: Final answer
    x = 220,853.57

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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.