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Finding the Fourth Proportional to 647,499.30, 971,528.40 and 347,629.41

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Solution

The fourth proportional to 647,499.30, 971,528.40 and 347,629.41 is: 521,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,499.30 : 971,528.40 = 347,629.41 : x
  2. Step 2: Convert to fraction form
    647,499.30/971,528.40 = 347,629.41/x
  3. Step 3: Cross multiply
    647,499.30x = 971,528.40 × 347,629.41
  4. Step 4: Simplify right side
    647,499.30x = 337,731,844,490.24
  5. Step 5: Solve for x
    x = 337,731,844,490.24/647,499.30
  6. Step 6: Final answer
    x = 521,594.15

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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.