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Finding the Fourth Proportional to 284,861.71, 393,093.15 and 155,774.56

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Solution

The fourth proportional to 284,861.71, 393,093.15 and 155,774.56 is: 214,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,861.71 : 393,093.15 = 155,774.56 : x
  2. Step 2: Convert to fraction form
    284,861.71/393,093.15 = 155,774.56/x
  3. Step 3: Cross multiply
    284,861.71x = 393,093.15 × 155,774.56
  4. Step 4: Simplify right side
    284,861.71x = 61,233,912,480.26
  5. Step 5: Solve for x
    x = 61,233,912,480.26/284,861.71
  6. Step 6: Final answer
    x = 214,960.14

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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.