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Finding the Fourth Proportional to 719,827.84, 993,369.90 and 397,546.12

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Solution

The fourth proportional to 719,827.84, 993,369.90 and 397,546.12 is: 548,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,827.84 : 993,369.90 = 397,546.12 : x
  2. Step 2: Convert to fraction form
    719,827.84/993,369.90 = 397,546.12/x
  3. Step 3: Cross multiply
    719,827.84x = 993,369.90 × 397,546.12
  4. Step 4: Simplify right side
    719,827.84x = 394,910,349,469.79
  5. Step 5: Solve for x
    x = 394,910,349,469.79/719,827.84
  6. Step 6: Final answer
    x = 548,617.78

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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.