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Finding the Fourth Proportional to 277,905.60, 416,815.20 and 78,206.40

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Solution

The fourth proportional to 277,905.60, 416,815.20 and 78,206.40 is: 117,297.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,905.60 : 416,815.20 = 78,206.40 : x
  2. Step 2: Convert to fraction form
    277,905.60/416,815.20 = 78,206.40/x
  3. Step 3: Cross multiply
    277,905.60x = 416,815.20 × 78,206.40
  4. Step 4: Simplify right side
    277,905.60x = 32,597,616,257.28
  5. Step 5: Solve for x
    x = 32,597,616,257.28/277,905.60
  6. Step 6: Final answer
    x = 117,297.44

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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.