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Finding the Fourth Proportional to 511,690.25, 766,538.00 and 311,514.14

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Solution

The fourth proportional to 511,690.25, 766,538.00 and 311,514.14 is: 466,664.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,690.25 : 766,538.00 = 311,514.14 : x
  2. Step 2: Convert to fraction form
    511,690.25/766,538.00 = 311,514.14/x
  3. Step 3: Cross multiply
    511,690.25x = 766,538.00 × 311,514.14
  4. Step 4: Simplify right side
    511,690.25x = 238,787,420,457.06
  5. Step 5: Solve for x
    x = 238,787,420,457.06/511,690.25
  6. Step 6: Final answer
    x = 466,664.01

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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.