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Finding the Fourth Proportional to 511,315.40, 766,965.90 and 230,832.20

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Solution

The fourth proportional to 511,315.40, 766,965.90 and 230,832.20 is: 346,245.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,315.40 : 766,965.90 = 230,832.20 : x
  2. Step 2: Convert to fraction form
    511,315.40/766,965.90 = 230,832.20/x
  3. Step 3: Cross multiply
    511,315.40x = 766,965.90 × 230,832.20
  4. Step 4: Simplify right side
    511,315.40x = 177,040,426,021.98
  5. Step 5: Solve for x
    x = 177,040,426,021.98/511,315.40
  6. Step 6: Final answer
    x = 346,245.05

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1.5x scale

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.