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Finding the Fourth Proportional to 393,785.52, 543,424 and 214,937.52

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Solution

The fourth proportional to 393,785.52, 543,424 and 214,937.52 is: 296,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,785.52 : 543,424 = 214,937.52 : x
  2. Step 2: Convert to fraction form
    393,785.52/543,424 = 214,937.52/x
  3. Step 3: Cross multiply
    393,785.52x = 543,424 × 214,937.52
  4. Step 4: Simplify right side
    393,785.52x = 116,802,206,868.48
  5. Step 5: Solve for x
    x = 116,802,206,868.48/393,785.52
  6. Step 6: Final answer
    x = 296,613.77

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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.