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Finding the Fourth Proportional to 285,213.40, 393,591.90 and 157,894.36

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Solution

The fourth proportional to 285,213.40, 393,591.90 and 157,894.36 is: 217,892.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,213.40 : 393,591.90 = 157,894.36 : x
  2. Step 2: Convert to fraction form
    285,213.40/393,591.90 = 157,894.36/x
  3. Step 3: Cross multiply
    285,213.40x = 393,591.90 × 157,894.36
  4. Step 4: Simplify right side
    285,213.40x = 62,145,941,151.68
  5. Step 5: Solve for x
    x = 62,145,941,151.68/285,213.40
  6. Step 6: Final answer
    x = 217,892.78

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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.