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Finding the Fourth Proportional to 277,780.86, 416,825.73 and 135,627.89

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Solution

The fourth proportional to 277,780.86, 416,825.73 and 135,627.89 is: 203,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,780.86 : 416,825.73 = 135,627.89 : x
  2. Step 2: Convert to fraction form
    277,780.86/416,825.73 = 135,627.89/x
  3. Step 3: Cross multiply
    277,780.86x = 416,825.73 × 135,627.89
  4. Step 4: Simplify right side
    277,780.86x = 56,533,192,173.48
  5. Step 5: Solve for x
    x = 56,533,192,173.48/277,780.86
  6. Step 6: Final answer
    x = 203,517.23

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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.