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Finding the Fourth Proportional to 511,026.80, 766,540.20 and 308,073.20

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Solution

The fourth proportional to 511,026.80, 766,540.20 and 308,073.20 is: 462,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,026.80 : 766,540.20 = 308,073.20 : x
  2. Step 2: Convert to fraction form
    511,026.80/766,540.20 = 308,073.20/x
  3. Step 3: Cross multiply
    511,026.80x = 766,540.20 × 308,073.20
  4. Step 4: Simplify right side
    511,026.80x = 236,150,492,342.64
  5. Step 5: Solve for x
    x = 236,150,492,342.64/511,026.80
  6. Step 6: Final answer
    x = 462,109.80

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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.