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Finding the Fourth Proportional to 647,473.80, 971,490.90 and 347,604.60

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Solution

The fourth proportional to 647,473.80, 971,490.90 and 347,604.60 is: 521,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,473.80 : 971,490.90 = 347,604.60 : x
  2. Step 2: Convert to fraction form
    647,473.80/971,490.90 = 347,604.60/x
  3. Step 3: Cross multiply
    647,473.80x = 971,490.90 × 347,604.60
  4. Step 4: Simplify right side
    647,473.80x = 337,694,705,698.14
  5. Step 5: Solve for x
    x = 337,694,705,698.14/647,473.80
  6. Step 6: Final answer
    x = 521,557.33

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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.