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Finding the Fourth Proportional to 647,568.70, 972,227.85 and 411,372.70

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Solution

The fourth proportional to 647,568.70, 972,227.85 and 411,372.70 is: 617,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,568.70 : 972,227.85 = 411,372.70 : x
  2. Step 2: Convert to fraction form
    647,568.70/972,227.85 = 411,372.70/x
  3. Step 3: Cross multiply
    647,568.70x = 972,227.85 × 411,372.70
  4. Step 4: Simplify right side
    647,568.70x = 399,947,995,669.70
  5. Step 5: Solve for x
    x = 399,947,995,669.70/647,568.70
  6. Step 6: Final answer
    x = 617,614.77

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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.