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Finding the Fourth Proportional to 397,379.31, 548,397.87 and 227,646.24

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Solution

The fourth proportional to 397,379.31, 548,397.87 and 227,646.24 is: 314,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,379.31 : 548,397.87 = 227,646.24 : x
  2. Step 2: Convert to fraction form
    397,379.31/548,397.87 = 227,646.24/x
  3. Step 3: Cross multiply
    397,379.31x = 548,397.87 × 227,646.24
  4. Step 4: Simplify right side
    397,379.31x = 124,840,713,129.51
  5. Step 5: Solve for x
    x = 124,840,713,129.51/397,379.31
  6. Step 6: Final answer
    x = 314,160.07

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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.