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Finding the Fourth Proportional to 277,721.64, 416,496.15 and 100,205.55

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Solution

The fourth proportional to 277,721.64, 416,496.15 and 100,205.55 is: 150,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,721.64 : 416,496.15 = 100,205.55 : x
  2. Step 2: Convert to fraction form
    277,721.64/416,496.15 = 100,205.55/x
  3. Step 3: Cross multiply
    277,721.64x = 416,496.15 × 100,205.55
  4. Step 4: Simplify right side
    277,721.64x = 41,735,225,783.63
  5. Step 5: Solve for x
    x = 41,735,225,783.63/277,721.64
  6. Step 6: Final answer
    x = 150,277.18

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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.