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Finding the Fourth Proportional to 511,763.72, 766,887.43 and 207,788.24

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Solution

The fourth proportional to 511,763.72, 766,887.43 and 207,788.24 is: 311,374.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,763.72 : 766,887.43 = 207,788.24 : x
  2. Step 2: Convert to fraction form
    511,763.72/766,887.43 = 207,788.24/x
  3. Step 3: Cross multiply
    511,763.72x = 766,887.43 × 207,788.24
  4. Step 4: Simplify right side
    511,763.72x = 159,350,185,523.39
  5. Step 5: Solve for x
    x = 159,350,185,523.39/511,763.72
  6. Step 6: Final answer
    x = 311,374.53

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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.