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Finding the Fourth Proportional to 511,910.25, 706,691.90 and 318,380.35

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Solution

The fourth proportional to 511,910.25, 706,691.90 and 318,380.35 is: 439,523.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,910.25 : 706,691.90 = 318,380.35 : x
  2. Step 2: Convert to fraction form
    511,910.25/706,691.90 = 318,380.35/x
  3. Step 3: Cross multiply
    511,910.25x = 706,691.90 × 318,380.35
  4. Step 4: Simplify right side
    511,910.25x = 224,996,813,493.39
  5. Step 5: Solve for x
    x = 224,996,813,493.39/511,910.25
  6. Step 6: Final answer
    x = 439,523.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.