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Finding the Fourth Proportional to 284,233.80, 392,249.78 and 161,719.44

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Solution

The fourth proportional to 284,233.80, 392,249.78 and 161,719.44 is: 223,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,233.80 : 392,249.78 = 161,719.44 : x
  2. Step 2: Convert to fraction form
    284,233.80/392,249.78 = 161,719.44/x
  3. Step 3: Cross multiply
    284,233.80x = 392,249.78 × 161,719.44
  4. Step 4: Simplify right side
    284,233.80x = 63,434,413,953.13
  5. Step 5: Solve for x
    x = 63,434,413,953.13/284,233.80
  6. Step 6: Final answer
    x = 223,176.88

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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.