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Finding the Fourth Proportional to 277,310.86, 416,028.56 and 87,782.47

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Solution

The fourth proportional to 277,310.86, 416,028.56 and 87,782.47 is: 131,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,310.86 : 416,028.56 = 87,782.47 : x
  2. Step 2: Convert to fraction form
    277,310.86/416,028.56 = 87,782.47/x
  3. Step 3: Cross multiply
    277,310.86x = 416,028.56 × 87,782.47
  4. Step 4: Simplify right side
    277,310.86x = 36,520,013,108.36
  5. Step 5: Solve for x
    x = 36,520,013,108.36/277,310.86
  6. Step 6: Final answer
    x = 131,693.41

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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.