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Finding the Fourth Proportional to 511,767.24, 766,892.68 and 207,791.72

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Solution

The fourth proportional to 511,767.24, 766,892.68 and 207,791.72 is: 311,379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,767.24 : 766,892.68 = 207,791.72 : x
  2. Step 2: Convert to fraction form
    511,767.24/766,892.68 = 207,791.72/x
  3. Step 3: Cross multiply
    511,767.24x = 766,892.68 × 207,791.72
  4. Step 4: Simplify right side
    511,767.24x = 159,353,949,032.61
  5. Step 5: Solve for x
    x = 159,353,949,032.61/511,767.24
  6. Step 6: Final answer
    x = 311,379.74

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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.