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Finding the Fourth Proportional to 277,871.50, 416,141.25 and 142,579.54

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Solution

The fourth proportional to 277,871.50, 416,141.25 and 142,579.54 is: 213,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,871.50 : 416,141.25 = 142,579.54 : x
  2. Step 2: Convert to fraction form
    277,871.50/416,141.25 = 142,579.54/x
  3. Step 3: Cross multiply
    277,871.50x = 416,141.25 × 142,579.54
  4. Step 4: Simplify right side
    277,871.50x = 59,333,228,000.03
  5. Step 5: Solve for x
    x = 59,333,228,000.03/277,871.50
  6. Step 6: Final answer
    x = 213,527.58

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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.