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Finding the Fourth Proportional to 647,375.80, 971,355.30 and 310,286.20

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Solution

The fourth proportional to 647,375.80, 971,355.30 and 310,286.20 is: 465,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,375.80 : 971,355.30 = 310,286.20 : x
  2. Step 2: Convert to fraction form
    647,375.80/971,355.30 = 310,286.20/x
  3. Step 3: Cross multiply
    647,375.80x = 971,355.30 × 310,286.20
  4. Step 4: Simplify right side
    647,375.80x = 301,398,144,886.86
  5. Step 5: Solve for x
    x = 301,398,144,886.86/647,375.80
  6. Step 6: Final answer
    x = 465,569.06

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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.