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Finding the Fourth Proportional to 284,958.50, 393,208.71 and 157,616.78

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Solution

The fourth proportional to 284,958.50, 393,208.71 and 157,616.78 is: 217,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,958.50 : 393,208.71 = 157,616.78 : x
  2. Step 2: Convert to fraction form
    284,958.50/393,208.71 = 157,616.78/x
  3. Step 3: Cross multiply
    284,958.50x = 393,208.71 × 157,616.78
  4. Step 4: Simplify right side
    284,958.50x = 61,976,290,738.15
  5. Step 5: Solve for x
    x = 61,976,290,738.15/284,958.50
  6. Step 6: Final answer
    x = 217,492.34

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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.