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Finding the Fourth Proportional to 285,930.81, 428,807.52 and 197,750.97

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Solution

The fourth proportional to 285,930.81, 428,807.52 and 197,750.97 is: 296,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,930.81 : 428,807.52 = 197,750.97 : x
  2. Step 2: Convert to fraction form
    285,930.81/428,807.52 = 197,750.97/x
  3. Step 3: Cross multiply
    285,930.81x = 428,807.52 × 197,750.97
  4. Step 4: Simplify right side
    285,930.81x = 84,797,103,023.29
  5. Step 5: Solve for x
    x = 84,797,103,023.29/285,930.81
  6. Step 6: Final answer
    x = 296,565.11

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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.