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Finding the Fourth Proportional to 397,378.78, 548,397.13 and 227,645.71

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Solution

The fourth proportional to 397,378.78, 548,397.13 and 227,645.71 is: 314,159.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,378.78 : 548,397.13 = 227,645.71 : x
  2. Step 2: Convert to fraction form
    397,378.78/548,397.13 = 227,645.71/x
  3. Step 3: Cross multiply
    397,378.78x = 548,397.13 × 227,645.71
  4. Step 4: Simplify right side
    397,378.78x = 124,840,251,278.83
  5. Step 5: Solve for x
    x = 124,840,251,278.83/397,378.78
  6. Step 6: Final answer
    x = 314,159.33

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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.