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Finding the Fourth Proportional to 414,164.86, 621,313.04 and 133,616.50

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Solution

The fourth proportional to 414,164.86, 621,313.04 and 133,616.50 is: 200,445.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,164.86 : 621,313.04 = 133,616.50 : x
  2. Step 2: Convert to fraction form
    414,164.86/621,313.04 = 133,616.50/x
  3. Step 3: Cross multiply
    414,164.86x = 621,313.04 × 133,616.50
  4. Step 4: Simplify right side
    414,164.86x = 83,017,673,141.08
  5. Step 5: Solve for x
    x = 83,017,673,141.08/414,164.86
  6. Step 6: Final answer
    x = 200,445.96

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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.