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Finding the Fourth Proportional to 647,462.80, 971,474.40 and 347,593.52

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Solution

The fourth proportional to 647,462.80, 971,474.40 and 347,593.52 is: 521,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,462.80 : 971,474.40 = 347,593.52 : x
  2. Step 2: Convert to fraction form
    647,462.80/971,474.40 = 347,593.52/x
  3. Step 3: Cross multiply
    647,462.80x = 971,474.40 × 347,593.52
  4. Step 4: Simplify right side
    647,462.80x = 337,678,206,285.89
  5. Step 5: Solve for x
    x = 337,678,206,285.89/647,462.80
  6. Step 6: Final answer
    x = 521,540.71

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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.