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Finding the Fourth Proportional to 644,509.78, 966,813.89 and 195,267.87

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Solution

The fourth proportional to 644,509.78, 966,813.89 and 195,267.87 is: 292,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,509.78 : 966,813.89 = 195,267.87 : x
  2. Step 2: Convert to fraction form
    644,509.78/966,813.89 = 195,267.87/x
  3. Step 3: Cross multiply
    644,509.78x = 966,813.89 × 195,267.87
  4. Step 4: Simplify right side
    644,509.78x = 188,787,688,010.38
  5. Step 5: Solve for x
    x = 188,787,688,010.38/644,509.78
  6. Step 6: Final answer
    x = 292,916.72

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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.