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Finding the Fourth Proportional to 397,470.97, 548,509.55 and 227,705.77

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Solution

The fourth proportional to 397,470.97, 548,509.55 and 227,705.77 is: 314,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,470.97 : 548,509.55 = 227,705.77 : x
  2. Step 2: Convert to fraction form
    397,470.97/548,509.55 = 227,705.77/x
  3. Step 3: Cross multiply
    397,470.97x = 548,509.55 × 227,705.77
  4. Step 4: Simplify right side
    397,470.97x = 124,898,788,296.58
  5. Step 5: Solve for x
    x = 124,898,788,296.58/397,470.97
  6. Step 6: Final answer
    x = 314,233.74

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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.