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Finding the Fourth Proportional to 463,505.45, 694,987.50 and 197,128.85

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Solution

The fourth proportional to 463,505.45, 694,987.50 and 197,128.85 is: 295,578.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,505.45 : 694,987.50 = 197,128.85 : x
  2. Step 2: Convert to fraction form
    463,505.45/694,987.50 = 197,128.85/x
  3. Step 3: Cross multiply
    463,505.45x = 694,987.50 × 197,128.85
  4. Step 4: Simplify right side
    463,505.45x = 137,002,086,639.38
  5. Step 5: Solve for x
    x = 137,002,086,639.38/463,505.45
  6. Step 6: Final answer
    x = 295,578.16

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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.