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Finding the Fourth Proportional to 284,958.34, 393,242.79 and 157,642.54

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Solution

The fourth proportional to 284,958.34, 393,242.79 and 157,642.54 is: 217,546.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,958.34 : 393,242.79 = 157,642.54 : x
  2. Step 2: Convert to fraction form
    284,958.34/393,242.79 = 157,642.54/x
  3. Step 3: Cross multiply
    284,958.34x = 393,242.79 × 157,642.54
  4. Step 4: Simplify right side
    284,958.34x = 61,991,792,252.29
  5. Step 5: Solve for x
    x = 61,991,792,252.29/284,958.34
  6. Step 6: Final answer
    x = 217,546.86

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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.