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Finding the Fourth Proportional to 415,055.82, 621,176.38 and 255,232.14

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Solution

The fourth proportional to 415,055.82, 621,176.38 and 255,232.14 is: 381,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,055.82 : 621,176.38 = 255,232.14 : x
  2. Step 2: Convert to fraction form
    415,055.82/621,176.38 = 255,232.14/x
  3. Step 3: Cross multiply
    415,055.82x = 621,176.38 × 255,232.14
  4. Step 4: Simplify right side
    415,055.82x = 158,544,176,784.85
  5. Step 5: Solve for x
    x = 158,544,176,784.85/415,055.82
  6. Step 6: Final answer
    x = 381,982.78

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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.