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Finding the Fourth Proportional to 284,984.87, 393,257.45 and 157,657.73

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Solution

The fourth proportional to 284,984.87, 393,257.45 and 157,657.73 is: 217,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,984.87 : 393,257.45 = 157,657.73 : x
  2. Step 2: Convert to fraction form
    284,984.87/393,257.45 = 157,657.73/x
  3. Step 3: Cross multiply
    284,984.87x = 393,257.45 × 157,657.73
  4. Step 4: Simplify right side
    284,984.87x = 62,000,076,084.30
  5. Step 5: Solve for x
    x = 62,000,076,084.30/284,984.87
  6. Step 6: Final answer
    x = 217,555.68

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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.