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Finding the Fourth Proportional to 284,770.36, 392,984.34 and 155,711.56

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Solution

The fourth proportional to 284,770.36, 392,984.34 and 155,711.56 is: 214,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,770.36 : 392,984.34 = 155,711.56 : x
  2. Step 2: Convert to fraction form
    284,770.36/392,984.34 = 155,711.56/x
  3. Step 3: Cross multiply
    284,770.36x = 392,984.34 × 155,711.56
  4. Step 4: Simplify right side
    284,770.36x = 61,192,204,636.97
  5. Step 5: Solve for x
    x = 61,192,204,636.97/284,770.36
  6. Step 6: Final answer
    x = 214,882.63

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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.