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Finding the Fourth Proportional to 386,402.24, 579,770.22 and 209,034.11

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Solution

The fourth proportional to 386,402.24, 579,770.22 and 209,034.11 is: 313,641.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,402.24 : 579,770.22 = 209,034.11 : x
  2. Step 2: Convert to fraction form
    386,402.24/579,770.22 = 209,034.11/x
  3. Step 3: Cross multiply
    386,402.24x = 579,770.22 × 209,034.11
  4. Step 4: Simplify right side
    386,402.24x = 121,191,751,942.20
  5. Step 5: Solve for x
    x = 121,191,751,942.20/386,402.24
  6. Step 6: Final answer
    x = 313,641.43

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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.