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Finding the Fourth Proportional to 277,502.54, 416,305.71 and 87,912

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Solution

The fourth proportional to 277,502.54, 416,305.71 and 87,912 is: 131,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,502.54 : 416,305.71 = 87,912 : x
  2. Step 2: Convert to fraction form
    277,502.54/416,305.71 = 87,912/x
  3. Step 3: Cross multiply
    277,502.54x = 416,305.71 × 87,912
  4. Step 4: Simplify right side
    277,502.54x = 36,598,267,577.52
  5. Step 5: Solve for x
    x = 36,598,267,577.52/277,502.54
  6. Step 6: Final answer
    x = 131,884.44

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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.