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Finding the Fourth Proportional to 277,980.56, 416,635.52 and 128,015.52

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Solution

The fourth proportional to 277,980.56, 416,635.52 and 128,015.52 is: 191,868.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,980.56 : 416,635.52 = 128,015.52 : x
  2. Step 2: Convert to fraction form
    277,980.56/416,635.52 = 128,015.52/x
  3. Step 3: Cross multiply
    277,980.56x = 416,635.52 × 128,015.52
  4. Step 4: Simplify right side
    277,980.56x = 53,335,812,743.27
  5. Step 5: Solve for x
    x = 53,335,812,743.27/277,980.56
  6. Step 6: Final answer
    x = 191,868.86

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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.