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Finding the Fourth Proportional to 414,920.60, 621,506.10 and 344,936.60

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Solution

The fourth proportional to 414,920.60, 621,506.10 and 344,936.60 is: 516,677.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,920.60 : 621,506.10 = 344,936.60 : x
  2. Step 2: Convert to fraction form
    414,920.60/621,506.10 = 344,936.60/x
  3. Step 3: Cross multiply
    414,920.60x = 621,506.10 × 344,936.60
  4. Step 4: Simplify right side
    414,920.60x = 214,380,201,013.26
  5. Step 5: Solve for x
    x = 214,380,201,013.26/414,920.60
  6. Step 6: Final answer
    x = 516,677.65

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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.