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Finding the Fourth Proportional to 287,436.80, 396,671.78 and 164,951.59

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Solution

The fourth proportional to 287,436.80, 396,671.78 and 164,951.59 is: 227,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,436.80 : 396,671.78 = 164,951.59 : x
  2. Step 2: Convert to fraction form
    287,436.80/396,671.78 = 164,951.59/x
  3. Step 3: Cross multiply
    287,436.80x = 396,671.78 × 164,951.59
  4. Step 4: Simplify right side
    287,436.80x = 65,431,640,239.83
  5. Step 5: Solve for x
    x = 65,431,640,239.83/287,436.80
  6. Step 6: Final answer
    x = 227,638.35

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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.