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Finding the Fourth Proportional to 397,789.96, 549,006.90 and 225,750.22

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Solution

The fourth proportional to 397,789.96, 549,006.90 and 225,750.22 is: 311,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,789.96 : 549,006.90 = 225,750.22 : x
  2. Step 2: Convert to fraction form
    397,789.96/549,006.90 = 225,750.22/x
  3. Step 3: Cross multiply
    397,789.96x = 549,006.90 × 225,750.22
  4. Step 4: Simplify right side
    397,789.96x = 123,938,428,456.52
  5. Step 5: Solve for x
    x = 123,938,428,456.52/397,789.96
  6. Step 6: Final answer
    x = 311,567.51

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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.