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Finding the Fourth Proportional to 285,164.33, 393,485.58 and 157,839.62

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Solution

The fourth proportional to 285,164.33, 393,485.58 and 157,839.62 is: 217,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,164.33 : 393,485.58 = 157,839.62 : x
  2. Step 2: Convert to fraction form
    285,164.33/393,485.58 = 157,839.62/x
  3. Step 3: Cross multiply
    285,164.33x = 393,485.58 × 157,839.62
  4. Step 4: Simplify right side
    285,164.33x = 62,107,612,455.25
  5. Step 5: Solve for x
    x = 62,107,612,455.25/285,164.33
  6. Step 6: Final answer
    x = 217,795.87

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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.