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Finding the Fourth Proportional to 511,991.30, 766,499.58 and 298,106.75

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Solution

The fourth proportional to 511,991.30, 766,499.58 and 298,106.75 is: 446,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,991.30 : 766,499.58 = 298,106.75 : x
  2. Step 2: Convert to fraction form
    511,991.30/766,499.58 = 298,106.75/x
  3. Step 3: Cross multiply
    511,991.30x = 766,499.58 × 298,106.75
  4. Step 4: Simplify right side
    511,991.30x = 228,498,694,837.67
  5. Step 5: Solve for x
    x = 228,498,694,837.67/511,991.30
  6. Step 6: Final answer
    x = 446,294.10

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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.