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Finding the Fourth Proportional to 414,603.51, 621,908.75 and 115,107.45

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Solution

The fourth proportional to 414,603.51, 621,908.75 and 115,107.45 is: 172,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,603.51 : 621,908.75 = 115,107.45 : x
  2. Step 2: Convert to fraction form
    414,603.51/621,908.75 = 115,107.45/x
  3. Step 3: Cross multiply
    414,603.51x = 621,908.75 × 115,107.45
  4. Step 4: Simplify right side
    414,603.51x = 71,586,327,977.06
  5. Step 5: Solve for x
    x = 71,586,327,977.06/414,603.51
  6. Step 6: Final answer
    x = 172,662.14

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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.