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Finding the Fourth Proportional to 512,844.67, 707,750.11 and 308,958.86

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Solution

The fourth proportional to 512,844.67, 707,750.11 and 308,958.86 is: 426,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,844.67 : 707,750.11 = 308,958.86 : x
  2. Step 2: Convert to fraction form
    512,844.67/707,750.11 = 308,958.86/x
  3. Step 3: Cross multiply
    512,844.67x = 707,750.11 × 308,958.86
  4. Step 4: Simplify right side
    512,844.67x = 218,665,663,587.06
  5. Step 5: Solve for x
    x = 218,665,663,587.06/512,844.67
  6. Step 6: Final answer
    x = 426,377.96

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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.