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Finding the Fourth Proportional to 699,156, 964,836.36 and 397,350

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Solution

The fourth proportional to 699,156, 964,836.36 and 397,350 is: 548,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,156 : 964,836.36 = 397,350 : x
  2. Step 2: Convert to fraction form
    699,156/964,836.36 = 397,350/x
  3. Step 3: Cross multiply
    699,156x = 964,836.36 × 397,350
  4. Step 4: Simplify right side
    699,156x = 383,377,727,646
  5. Step 5: Solve for x
    x = 383,377,727,646/699,156
  6. Step 6: Final answer
    x = 548,343.61

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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.