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Finding the Fourth Proportional to 287,186.56, 396,308.16 and 159,857.92

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Solution

The fourth proportional to 287,186.56, 396,308.16 and 159,857.92 is: 220,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,186.56 : 396,308.16 = 159,857.92 : x
  2. Step 2: Convert to fraction form
    287,186.56/396,308.16 = 159,857.92/x
  3. Step 3: Cross multiply
    287,186.56x = 396,308.16 × 159,857.92
  4. Step 4: Simplify right side
    287,186.56x = 63,352,998,136.63
  5. Step 5: Solve for x
    x = 63,352,998,136.63/287,186.56
  6. Step 6: Final answer
    x = 220,598.76

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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.