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Finding the Fourth Proportional to 378,732.80, 522,662.20 and 208,977.86

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Solution

The fourth proportional to 378,732.80, 522,662.20 and 208,977.86 is: 288,395.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,732.80 : 522,662.20 = 208,977.86 : x
  2. Step 2: Convert to fraction form
    378,732.80/522,662.20 = 208,977.86/x
  3. Step 3: Cross multiply
    378,732.80x = 522,662.20 × 208,977.86
  4. Step 4: Simplify right side
    378,732.80x = 109,224,827,078.63
  5. Step 5: Solve for x
    x = 109,224,827,078.63/378,732.80
  6. Step 6: Final answer
    x = 288,395.48

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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.