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Finding the Fourth Proportional to 397,382.79, 548,402.64 and 227,649.72

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Solution

The fourth proportional to 397,382.79, 548,402.64 and 227,649.72 is: 314,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,382.79 : 548,402.64 = 227,649.72 : x
  2. Step 2: Convert to fraction form
    397,382.79/548,402.64 = 227,649.72/x
  3. Step 3: Cross multiply
    397,382.79x = 548,402.64 × 227,649.72
  4. Step 4: Simplify right side
    397,382.79x = 124,843,704,979.33
  5. Step 5: Solve for x
    x = 124,843,704,979.33/397,382.79
  6. Step 6: Final answer
    x = 314,164.85

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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.