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Finding the Fourth Proportional to 285,866.82, 428,712.39 and 197,686.98

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Solution

The fourth proportional to 285,866.82, 428,712.39 and 197,686.98 is: 296,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,866.82 : 428,712.39 = 197,686.98 : x
  2. Step 2: Convert to fraction form
    285,866.82/428,712.39 = 197,686.98/x
  3. Step 3: Cross multiply
    285,866.82x = 428,712.39 × 197,686.98
  4. Step 4: Simplify right side
    285,866.82x = 84,750,857,667.68
  5. Step 5: Solve for x
    x = 84,750,857,667.68/285,866.82
  6. Step 6: Final answer
    x = 296,469.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.