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Finding the Fourth Proportional to 408,501.40, 563,718.42 and 227,208.22

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Solution

The fourth proportional to 408,501.40, 563,718.42 and 227,208.22 is: 313,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,501.40 : 563,718.42 = 227,208.22 : x
  2. Step 2: Convert to fraction form
    408,501.40/563,718.42 = 227,208.22/x
  3. Step 3: Cross multiply
    408,501.40x = 563,718.42 × 227,208.22
  4. Step 4: Simplify right side
    408,501.40x = 128,081,458,789.41
  5. Step 5: Solve for x
    x = 128,081,458,789.41/408,501.40
  6. Step 6: Final answer
    x = 313,539.83

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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.