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Finding the Fourth Proportional to 287,905.96, 397,310.76 and 160,589.80

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Solution

The fourth proportional to 287,905.96, 397,310.76 and 160,589.80 is: 221,614.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,905.96 : 397,310.76 = 160,589.80 : x
  2. Step 2: Convert to fraction form
    287,905.96/397,310.76 = 160,589.80/x
  3. Step 3: Cross multiply
    287,905.96x = 397,310.76 × 160,589.80
  4. Step 4: Simplify right side
    287,905.96x = 63,804,055,486.25
  5. Step 5: Solve for x
    x = 63,804,055,486.25/287,905.96
  6. Step 6: Final answer
    x = 221,614.22

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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.