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Finding the Fourth Proportional to 284,954.76, 393,235.97 and 157,627.62

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Solution

The fourth proportional to 284,954.76, 393,235.97 and 157,627.62 is: 217,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,954.76 : 393,235.97 = 157,627.62 : x
  2. Step 2: Convert to fraction form
    284,954.76/393,235.97 = 157,627.62/x
  3. Step 3: Cross multiply
    284,954.76x = 393,235.97 × 157,627.62
  4. Step 4: Simplify right side
    284,954.76x = 61,984,849,261.35
  5. Step 5: Solve for x
    x = 61,984,849,261.35/284,954.76
  6. Step 6: Final answer
    x = 217,525.23

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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.