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Finding the Fourth Proportional to 511,741.80, 766,230.30 and 401,149.80

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Solution

The fourth proportional to 511,741.80, 766,230.30 and 401,149.80 is: 600,641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,741.80 : 766,230.30 = 401,149.80 : x
  2. Step 2: Convert to fraction form
    511,741.80/766,230.30 = 401,149.80/x
  3. Step 3: Cross multiply
    511,741.80x = 766,230.30 × 401,149.80
  4. Step 4: Simplify right side
    511,741.80x = 307,373,131,598.94
  5. Step 5: Solve for x
    x = 307,373,131,598.94/511,741.80
  6. Step 6: Final answer
    x = 600,641.05

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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.