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Finding the Fourth Proportional to 277,872.50, 416,142.75 and 142,580.54

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Solution

The fourth proportional to 277,872.50, 416,142.75 and 142,580.54 is: 213,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,872.50 : 416,142.75 = 142,580.54 : x
  2. Step 2: Convert to fraction form
    277,872.50/416,142.75 = 142,580.54/x
  3. Step 3: Cross multiply
    277,872.50x = 416,142.75 × 142,580.54
  4. Step 4: Simplify right side
    277,872.50x = 59,333,858,012.09
  5. Step 5: Solve for x
    x = 59,333,858,012.09/277,872.50
  6. Step 6: Final answer
    x = 213,529.08

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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.