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Finding the Fourth Proportional to 647,454.11, 971,460.92 and 347,584.52

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Solution

The fourth proportional to 647,454.11, 971,460.92 and 347,584.52 is: 521,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,454.11 : 971,460.92 = 347,584.52 : x
  2. Step 2: Convert to fraction form
    647,454.11/971,460.92 = 347,584.52/x
  3. Step 3: Cross multiply
    647,454.11x = 971,460.92 × 347,584.52
  4. Step 4: Simplify right side
    647,454.11x = 337,664,777,576.96
  5. Step 5: Solve for x
    x = 337,664,777,576.96/647,454.11
  6. Step 6: Final answer
    x = 521,526.97

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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.