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Finding the Fourth Proportional to 362,149.29, 499,791.20 and 209,239.11

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Solution

The fourth proportional to 362,149.29, 499,791.20 and 209,239.11 is: 288,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,149.29 : 499,791.20 = 209,239.11 : x
  2. Step 2: Convert to fraction form
    362,149.29/499,791.20 = 209,239.11/x
  3. Step 3: Cross multiply
    362,149.29x = 499,791.20 × 209,239.11
  4. Step 4: Simplify right side
    362,149.29x = 104,575,864,827.64
  5. Step 5: Solve for x
    x = 104,575,864,827.64/362,149.29
  6. Step 6: Final answer
    x = 288,764.52

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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.