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Finding the Fourth Proportional to 408,449.48, 563,675.82 and 227,174.51

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Solution

The fourth proportional to 408,449.48, 563,675.82 and 227,174.51 is: 313,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,449.48 : 563,675.82 = 227,174.51 : x
  2. Step 2: Convert to fraction form
    408,449.48/563,675.82 = 227,174.51/x
  3. Step 3: Cross multiply
    408,449.48x = 563,675.82 × 227,174.51
  4. Step 4: Simplify right side
    408,449.48x = 128,052,778,764.63
  5. Step 5: Solve for x
    x = 128,052,778,764.63/408,449.48
  6. Step 6: Final answer
    x = 313,509.47

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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.