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Finding the Fourth Proportional to 284,791.41, 393,024.45 and 157,467

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Solution

The fourth proportional to 284,791.41, 393,024.45 and 157,467 is: 217,311.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,791.41 : 393,024.45 = 157,467 : x
  2. Step 2: Convert to fraction form
    284,791.41/393,024.45 = 157,467/x
  3. Step 3: Cross multiply
    284,791.41x = 393,024.45 × 157,467
  4. Step 4: Simplify right side
    284,791.41x = 61,888,381,068.15
  5. Step 5: Solve for x
    x = 61,888,381,068.15/284,791.41
  6. Step 6: Final answer
    x = 217,311.26

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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.