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Finding the Fourth Proportional to 414,062.12, 621,093.32 and 129,774.73

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Solution

The fourth proportional to 414,062.12, 621,093.32 and 129,774.73 is: 194,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,062.12 : 621,093.32 = 129,774.73 : x
  2. Step 2: Convert to fraction form
    414,062.12/621,093.32 = 129,774.73/x
  3. Step 3: Cross multiply
    414,062.12x = 621,093.32 × 129,774.73
  4. Step 4: Simplify right side
    414,062.12x = 80,602,216,192.85
  5. Step 5: Solve for x
    x = 80,602,216,192.85/414,062.12
  6. Step 6: Final answer
    x = 194,662.14

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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.