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Finding the Fourth Proportional to 287,456.88, 396,702.76 and 160,132.56

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Solution

The fourth proportional to 287,456.88, 396,702.76 and 160,132.56 is: 220,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,456.88 : 396,702.76 = 160,132.56 : x
  2. Step 2: Convert to fraction form
    287,456.88/396,702.76 = 160,132.56/x
  3. Step 3: Cross multiply
    287,456.88x = 396,702.76 × 160,132.56
  4. Step 4: Simplify right side
    287,456.88x = 63,525,028,517.87
  5. Step 5: Solve for x
    x = 63,525,028,517.87/287,456.88
  6. Step 6: Final answer
    x = 220,989.77

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1.5x scale

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.