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Finding the Fourth Proportional to 284,738.43, 392,919.30 and 157,404

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Solution

The fourth proportional to 284,738.43, 392,919.30 and 157,404 is: 217,206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,738.43 : 392,919.30 = 157,404 : x
  2. Step 2: Convert to fraction form
    284,738.43/392,919.30 = 157,404/x
  3. Step 3: Cross multiply
    284,738.43x = 392,919.30 × 157,404
  4. Step 4: Simplify right side
    284,738.43x = 61,847,069,497.20
  5. Step 5: Solve for x
    x = 61,847,069,497.20/284,738.43
  6. Step 6: Final answer
    x = 217,206.61

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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.