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Finding the Fourth Proportional to 647,533.30, 971,372.85 and 198,250.60

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Solution

The fourth proportional to 647,533.30, 971,372.85 and 198,250.60 is: 297,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,533.30 : 971,372.85 = 198,250.60 : x
  2. Step 2: Convert to fraction form
    647,533.30/971,372.85 = 198,250.60/x
  3. Step 3: Cross multiply
    647,533.30x = 971,372.85 × 198,250.60
  4. Step 4: Simplify right side
    647,533.30x = 192,575,250,336.21
  5. Step 5: Solve for x
    x = 192,575,250,336.21/647,533.30
  6. Step 6: Final answer
    x = 297,398.22

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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.