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Finding the Fourth Proportional to 407,837.72, 611,818.82 and 208,049.11

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Solution

The fourth proportional to 407,837.72, 611,818.82 and 208,049.11 is: 312,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,837.72 : 611,818.82 = 208,049.11 : x
  2. Step 2: Convert to fraction form
    407,837.72/611,818.82 = 208,049.11/x
  3. Step 3: Cross multiply
    407,837.72x = 611,818.82 × 208,049.11
  4. Step 4: Simplify right side
    407,837.72x = 127,288,359,192.64
  5. Step 5: Solve for x
    x = 127,288,359,192.64/407,837.72
  6. Step 6: Final answer
    x = 312,105.41

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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.