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Finding the Fourth Proportional to 378,516.38, 567,494.30 and 228,721.59

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Solution

The fourth proportional to 378,516.38, 567,494.30 and 228,721.59 is: 342,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,516.38 : 567,494.30 = 228,721.59 : x
  2. Step 2: Convert to fraction form
    378,516.38/567,494.30 = 228,721.59/x
  3. Step 3: Cross multiply
    378,516.38x = 567,494.30 × 228,721.59
  4. Step 4: Simplify right side
    378,516.38x = 129,798,199,183.74
  5. Step 5: Solve for x
    x = 129,798,199,183.74/378,516.38
  6. Step 6: Final answer
    x = 342,913.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.