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Finding the Fourth Proportional to 647,414.95, 971,402.28 and 347,545.36

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Solution

The fourth proportional to 647,414.95, 971,402.28 and 347,545.36 is: 521,468.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,414.95 : 971,402.28 = 347,545.36 : x
  2. Step 2: Convert to fraction form
    647,414.95/971,402.28 = 347,545.36/x
  3. Step 3: Cross multiply
    647,414.95x = 971,402.28 × 347,545.36
  4. Step 4: Simplify right side
    647,414.95x = 337,606,355,107.42
  5. Step 5: Solve for x
    x = 337,606,355,107.42/647,414.95
  6. Step 6: Final answer
    x = 521,468.27

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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.