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Finding the Fourth Proportional to 287,422.47, 396,655.25 and 160,098.12

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Solution

The fourth proportional to 287,422.47, 396,655.25 and 160,098.12 is: 220,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,422.47 : 396,655.25 = 160,098.12 : x
  2. Step 2: Convert to fraction form
    287,422.47/396,655.25 = 160,098.12/x
  3. Step 3: Cross multiply
    287,422.47x = 396,655.25 × 160,098.12
  4. Step 4: Simplify right side
    287,422.47x = 63,503,759,012.64
  5. Step 5: Solve for x
    x = 63,503,759,012.64/287,422.47
  6. Step 6: Final answer
    x = 220,942.22

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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.