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Finding the Fourth Proportional to 386,562.24, 580,010.22 and 209,194.38

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Solution

The fourth proportional to 386,562.24, 580,010.22 and 209,194.38 is: 313,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,562.24 : 580,010.22 = 209,194.38 : x
  2. Step 2: Convert to fraction form
    386,562.24/580,010.22 = 209,194.38/x
  3. Step 3: Cross multiply
    386,562.24x = 580,010.22 × 209,194.38
  4. Step 4: Simplify right side
    386,562.24x = 121,334,878,366.56
  5. Step 5: Solve for x
    x = 121,334,878,366.56/386,562.24
  6. Step 6: Final answer
    x = 313,881.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.