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Finding the Fourth Proportional to 415,212.40, 621,406.38 and 255,203.97

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Solution

The fourth proportional to 415,212.40, 621,406.38 and 255,203.97 is: 381,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,212.40 : 621,406.38 = 255,203.97 : x
  2. Step 2: Convert to fraction form
    415,212.40/621,406.38 = 255,203.97/x
  3. Step 3: Cross multiply
    415,212.40x = 621,406.38 × 255,203.97
  4. Step 4: Simplify right side
    415,212.40x = 158,585,373,786.07
  5. Step 5: Solve for x
    x = 158,585,373,786.07/415,212.40
  6. Step 6: Final answer
    x = 381,937.95

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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.