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Finding the Fourth Proportional to 378,745.74, 522,668.76 and 208,979.88

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Solution

The fourth proportional to 378,745.74, 522,668.76 and 208,979.88 is: 288,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,745.74 : 522,668.76 = 208,979.88 : x
  2. Step 2: Convert to fraction form
    378,745.74/522,668.76 = 208,979.88/x
  3. Step 3: Cross multiply
    378,745.74x = 522,668.76 × 208,979.88
  4. Step 4: Simplify right side
    378,745.74x = 109,227,254,744.55
  5. Step 5: Solve for x
    x = 109,227,254,744.55/378,745.74
  6. Step 6: Final answer
    x = 288,392.04

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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.