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Finding the Fourth Proportional to 414,214.29, 621,320.39 and 114,693.87

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Solution

The fourth proportional to 414,214.29, 621,320.39 and 114,693.87 is: 172,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,214.29 : 621,320.39 = 114,693.87 : x
  2. Step 2: Convert to fraction form
    414,214.29/621,320.39 = 114,693.87/x
  3. Step 3: Cross multiply
    414,214.29x = 621,320.39 × 114,693.87
  4. Step 4: Simplify right side
    414,214.29x = 71,261,640,039.01
  5. Step 5: Solve for x
    x = 71,261,640,039.01/414,214.29
  6. Step 6: Final answer
    x = 172,040.52

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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.