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Finding the Fourth Proportional to 511,967.20, 766,971.60 and 275,231.20

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Solution

The fourth proportional to 511,967.20, 766,971.60 and 275,231.20 is: 412,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,967.20 : 766,971.60 = 275,231.20 : x
  2. Step 2: Convert to fraction form
    511,967.20/766,971.60 = 275,231.20/x
  3. Step 3: Cross multiply
    511,967.20x = 766,971.60 × 275,231.20
  4. Step 4: Simplify right side
    511,967.20x = 211,094,513,833.92
  5. Step 5: Solve for x
    x = 211,094,513,833.92/511,967.20
  6. Step 6: Final answer
    x = 412,320.39

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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.