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Finding the Fourth Proportional to 511,691.00, 766,539.13 and 311,514.89

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Solution

The fourth proportional to 511,691.00, 766,539.13 and 311,514.89 is: 466,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,691.00 : 766,539.13 = 311,514.89 : x
  2. Step 2: Convert to fraction form
    511,691.00/766,539.13 = 311,514.89/x
  3. Step 3: Cross multiply
    511,691.00x = 766,539.13 × 311,514.89
  4. Step 4: Simplify right side
    511,691.00x = 238,788,348,151.16
  5. Step 5: Solve for x
    x = 238,788,348,151.16/511,691.00
  6. Step 6: Final answer
    x = 466,665.14

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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.