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Finding the Fourth Proportional to 287,644.83, 396,963.45 and 160,321.35

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Solution

The fourth proportional to 287,644.83, 396,963.45 and 160,321.35 is: 221,251.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,644.83 : 396,963.45 = 160,321.35 : x
  2. Step 2: Convert to fraction form
    287,644.83/396,963.45 = 160,321.35/x
  3. Step 3: Cross multiply
    287,644.83x = 396,963.45 × 160,321.35
  4. Step 4: Simplify right side
    287,644.83x = 63,641,716,204.66
  5. Step 5: Solve for x
    x = 63,641,716,204.66/287,644.83
  6. Step 6: Final answer
    x = 221,251.03

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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.