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Finding the Fourth Proportional to 644,089.29, 966,285.66 and 194,813.88

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Solution

The fourth proportional to 644,089.29, 966,285.66 and 194,813.88 is: 292,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,089.29 : 966,285.66 = 194,813.88 : x
  2. Step 2: Convert to fraction form
    644,089.29/966,285.66 = 194,813.88/x
  3. Step 3: Cross multiply
    644,089.29x = 966,285.66 × 194,813.88
  4. Step 4: Simplify right side
    644,089.29x = 188,245,858,612.96
  5. Step 5: Solve for x
    x = 188,245,858,612.96/644,089.29
  6. Step 6: Final answer
    x = 292,266.71

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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.