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Finding the Fourth Proportional to 414,186.72, 620,468.13 and 214,638

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Solution

The fourth proportional to 414,186.72, 620,468.13 and 214,638 is: 321,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,186.72 : 620,468.13 = 214,638 : x
  2. Step 2: Convert to fraction form
    414,186.72/620,468.13 = 214,638/x
  3. Step 3: Cross multiply
    414,186.72x = 620,468.13 × 214,638
  4. Step 4: Simplify right side
    414,186.72x = 133,176,038,486.94
  5. Step 5: Solve for x
    x = 133,176,038,486.94/414,186.72
  6. Step 6: Final answer
    x = 321,536.23

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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.