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Finding the Fourth Proportional to 287,164.26, 396,286.65 and 159,837.12

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Solution

The fourth proportional to 287,164.26, 396,286.65 and 159,837.12 is: 220,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,164.26 : 396,286.65 = 159,837.12 : x
  2. Step 2: Convert to fraction form
    287,164.26/396,286.65 = 159,837.12/x
  3. Step 3: Cross multiply
    287,164.26x = 396,286.65 × 159,837.12
  4. Step 4: Simplify right side
    287,164.26x = 63,341,316,830.45
  5. Step 5: Solve for x
    x = 63,341,316,830.45/287,164.26
  6. Step 6: Final answer
    x = 220,575.21

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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.