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Finding the Fourth Proportional to 287,199.96, 396,342.90 and 159,884.16

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Solution

The fourth proportional to 287,199.96, 396,342.90 and 159,884.16 is: 220,644.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,199.96 : 396,342.90 = 159,884.16 : x
  2. Step 2: Convert to fraction form
    287,199.96/396,342.90 = 159,884.16/x
  3. Step 3: Cross multiply
    287,199.96x = 396,342.90 × 159,884.16
  4. Step 4: Simplify right side
    287,199.96x = 63,368,951,638.46
  5. Step 5: Solve for x
    x = 63,368,951,638.46/287,199.96
  6. Step 6: Final answer
    x = 220,644.01

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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.