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Finding the Fourth Proportional to 414,486.30, 621,729.39 and 114,966.88

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Solution

The fourth proportional to 414,486.30, 621,729.39 and 114,966.88 is: 172,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,486.30 : 621,729.39 = 114,966.88 : x
  2. Step 2: Convert to fraction form
    414,486.30/621,729.39 = 114,966.88/x
  3. Step 3: Cross multiply
    414,486.30x = 621,729.39 × 114,966.88
  4. Step 4: Simplify right side
    414,486.30x = 71,478,285,063.96
  5. Step 5: Solve for x
    x = 71,478,285,063.96/414,486.30
  6. Step 6: Final answer
    x = 172,450.30

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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.