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Finding the Fourth Proportional to 397,384.95, 548,405.62 and 227,651.88

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Solution

The fourth proportional to 397,384.95, 548,405.62 and 227,651.88 is: 314,167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,384.95 : 548,405.62 = 227,651.88 : x
  2. Step 2: Convert to fraction form
    397,384.95/548,405.62 = 227,651.88/x
  3. Step 3: Cross multiply
    397,384.95x = 548,405.62 × 227,651.88
  4. Step 4: Simplify right side
    397,384.95x = 124,845,567,653.54
  5. Step 5: Solve for x
    x = 124,845,567,653.54/397,384.95
  6. Step 6: Final answer
    x = 314,167.83

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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.