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Finding the Fourth Proportional to 378,269.34, 567,293.28 and 311,543.97

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Solution

The fourth proportional to 378,269.34, 567,293.28 and 311,543.97 is: 467,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,269.34 : 567,293.28 = 311,543.97 : x
  2. Step 2: Convert to fraction form
    378,269.34/567,293.28 = 311,543.97/x
  3. Step 3: Cross multiply
    378,269.34x = 567,293.28 × 311,543.97
  4. Step 4: Simplify right side
    378,269.34x = 176,736,800,605.52
  5. Step 5: Solve for x
    x = 176,736,800,605.52/378,269.34
  6. Step 6: Final answer
    x = 467,224.76

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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.