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Finding the Fourth Proportional to 511,243.60, 766,017.78 and 310,958.08

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Solution

The fourth proportional to 511,243.60, 766,017.78 and 310,958.08 is: 465,921.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,243.60 : 766,017.78 = 310,958.08 : x
  2. Step 2: Convert to fraction form
    511,243.60/766,017.78 = 310,958.08/x
  3. Step 3: Cross multiply
    511,243.60x = 766,017.78 × 310,958.08
  4. Step 4: Simplify right side
    511,243.60x = 238,199,418,114.66
  5. Step 5: Solve for x
    x = 238,199,418,114.66/511,243.60
  6. Step 6: Final answer
    x = 465,921.56

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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.