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Finding the Fourth Proportional to 277,959.57, 416,949.36 and 78,297.39

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Solution

The fourth proportional to 277,959.57, 416,949.36 and 78,297.39 is: 117,448.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,959.57 : 416,949.36 = 78,297.39 : x
  2. Step 2: Convert to fraction form
    277,959.57/416,949.36 = 78,297.39/x
  3. Step 3: Cross multiply
    277,959.57x = 416,949.36 × 78,297.39
  4. Step 4: Simplify right side
    277,959.57x = 32,646,046,650.17
  5. Step 5: Solve for x
    x = 32,646,046,650.17/277,959.57
  6. Step 6: Final answer
    x = 117,448.90

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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.