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Finding the Fourth Proportional to 647,502.78, 971,534.56 and 347,633.48

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Solution

The fourth proportional to 647,502.78, 971,534.56 and 347,633.48 is: 521,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,502.78 : 971,534.56 = 347,633.48 : x
  2. Step 2: Convert to fraction form
    647,502.78/971,534.56 = 347,633.48/x
  3. Step 3: Cross multiply
    647,502.78x = 971,534.56 × 347,633.48
  4. Step 4: Simplify right side
    647,502.78x = 337,737,940,033.07
  5. Step 5: Solve for x
    x = 337,737,940,033.07/647,502.78
  6. Step 6: Final answer
    x = 521,600.76

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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.