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Finding the Fourth Proportional to 285,869.82, 428,716.88 and 197,689.98

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Solution

The fourth proportional to 285,869.82, 428,716.88 and 197,689.98 is: 296,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,869.82 : 428,716.88 = 197,689.98 : x
  2. Step 2: Convert to fraction form
    285,869.82/428,716.88 = 197,689.98/x
  3. Step 3: Cross multiply
    285,869.82x = 428,716.88 × 197,689.98
  4. Step 4: Simplify right side
    285,869.82x = 84,753,031,432.86
  5. Step 5: Solve for x
    x = 84,753,031,432.86/285,869.82
  6. Step 6: Final answer
    x = 296,474.22

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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.