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Finding the Fourth Proportional to 277,251.36, 415,903.23 and 77,571.78

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Solution

The fourth proportional to 277,251.36, 415,903.23 and 77,571.78 is: 116,365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,251.36 : 415,903.23 = 77,571.78 : x
  2. Step 2: Convert to fraction form
    277,251.36/415,903.23 = 77,571.78/x
  3. Step 3: Cross multiply
    277,251.36x = 415,903.23 × 77,571.78
  4. Step 4: Simplify right side
    277,251.36x = 32,262,353,858.85
  5. Step 5: Solve for x
    x = 32,262,353,858.85/277,251.36
  6. Step 6: Final answer
    x = 116,365.00

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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.