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Finding the Fourth Proportional to 284,104.99, 392,067.17 and 155,044.48

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Solution

The fourth proportional to 284,104.99, 392,067.17 and 155,044.48 is: 213,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,104.99 : 392,067.17 = 155,044.48 : x
  2. Step 2: Convert to fraction form
    284,104.99/392,067.17 = 155,044.48/x
  3. Step 3: Cross multiply
    284,104.99x = 392,067.17 × 155,044.48
  4. Step 4: Simplify right side
    284,104.99x = 60,787,848,537.39
  5. Step 5: Solve for x
    x = 60,787,848,537.39/284,104.99
  6. Step 6: Final answer
    x = 213,962.63

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1.5x scale

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.