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Finding the Fourth Proportional to 402,227.20, 603,513.60 and 205,235.20

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Solution

The fourth proportional to 402,227.20, 603,513.60 and 205,235.20 is: 307,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,227.20 : 603,513.60 = 205,235.20 : x
  2. Step 2: Convert to fraction form
    402,227.20/603,513.60 = 205,235.20/x
  3. Step 3: Cross multiply
    402,227.20x = 603,513.60 × 205,235.20
  4. Step 4: Simplify right side
    402,227.20x = 123,862,234,398.72
  5. Step 5: Solve for x
    x = 123,862,234,398.72/402,227.20
  6. Step 6: Final answer
    x = 307,940.97

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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.