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Finding the Fourth Proportional to 414,390.85, 621,524.68 and 114,840.20

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Solution

The fourth proportional to 414,390.85, 621,524.68 and 114,840.20 is: 172,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,390.85 : 621,524.68 = 114,840.20 : x
  2. Step 2: Convert to fraction form
    414,390.85/621,524.68 = 114,840.20/x
  3. Step 3: Cross multiply
    414,390.85x = 621,524.68 × 114,840.20
  4. Step 4: Simplify right side
    414,390.85x = 71,376,018,556.14
  5. Step 5: Solve for x
    x = 71,376,018,556.14/414,390.85
  6. Step 6: Final answer
    x = 172,243.23

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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.