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Finding the Fourth Proportional to 277,418.46, 416,129.46 and 90,429.96

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Solution

The fourth proportional to 277,418.46, 416,129.46 and 90,429.96 is: 135,645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,418.46 : 416,129.46 = 90,429.96 : x
  2. Step 2: Convert to fraction form
    277,418.46/416,129.46 = 90,429.96/x
  3. Step 3: Cross multiply
    277,418.46x = 416,129.46 × 90,429.96
  4. Step 4: Simplify right side
    277,418.46x = 37,630,570,422.62
  5. Step 5: Solve for x
    x = 37,630,570,422.62/277,418.46
  6. Step 6: Final answer
    x = 135,645.52

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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.