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Finding the Fourth Proportional to 414,604.51, 621,910.25 and 115,108.45

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Solution

The fourth proportional to 414,604.51, 621,910.25 and 115,108.45 is: 172,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,604.51 : 621,910.25 = 115,108.45 : x
  2. Step 2: Convert to fraction form
    414,604.51/621,910.25 = 115,108.45/x
  3. Step 3: Cross multiply
    414,604.51x = 621,910.25 × 115,108.45
  4. Step 4: Simplify right side
    414,604.51x = 71,587,121,807.06
  5. Step 5: Solve for x
    x = 71,587,121,807.06/414,604.51
  6. Step 6: Final answer
    x = 172,663.64

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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.