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Finding the Fourth Proportional to 463,380.96, 694,937.24 and 139,156

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Solution

The fourth proportional to 463,380.96, 694,937.24 and 139,156 is: 208,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,380.96 : 694,937.24 = 139,156 : x
  2. Step 2: Convert to fraction form
    463,380.96/694,937.24 = 139,156/x
  3. Step 3: Cross multiply
    463,380.96x = 694,937.24 × 139,156
  4. Step 4: Simplify right side
    463,380.96x = 96,704,686,569.44
  5. Step 5: Solve for x
    x = 96,704,686,569.44/463,380.96
  6. Step 6: Final answer
    x = 208,693.70

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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.