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Finding the Fourth Proportional to 511,118.95, 767,034.17 and 211,601.08

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Solution

The fourth proportional to 511,118.95, 767,034.17 and 211,601.08 is: 317,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,118.95 : 767,034.17 = 211,601.08 : x
  2. Step 2: Convert to fraction form
    511,118.95/767,034.17 = 211,601.08/x
  3. Step 3: Cross multiply
    511,118.95x = 767,034.17 × 211,601.08
  4. Step 4: Simplify right side
    511,118.95x = 162,305,258,768.90
  5. Step 5: Solve for x
    x = 162,305,258,768.90/511,118.95
  6. Step 6: Final answer
    x = 317,548.90

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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.