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Finding the Fourth Proportional to 284,902.10, 393,175.17 and 157,578.60

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Solution

The fourth proportional to 284,902.10, 393,175.17 and 157,578.60 is: 217,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,902.10 : 393,175.17 = 157,578.60 : x
  2. Step 2: Convert to fraction form
    284,902.10/393,175.17 = 157,578.60/x
  3. Step 3: Cross multiply
    284,902.10x = 393,175.17 × 157,578.60
  4. Step 4: Simplify right side
    284,902.10x = 61,955,992,843.36
  5. Step 5: Solve for x
    x = 61,955,992,843.36/284,902.10
  6. Step 6: Final answer
    x = 217,464.15

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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.