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Finding the Fourth Proportional to 277,951.26, 416,890.02 and 78,287.34

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Solution

The fourth proportional to 277,951.26, 416,890.02 and 78,287.34 is: 117,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,951.26 : 416,890.02 = 78,287.34 : x
  2. Step 2: Convert to fraction form
    277,951.26/416,890.02 = 78,287.34/x
  3. Step 3: Cross multiply
    277,951.26x = 416,890.02 × 78,287.34
  4. Step 4: Simplify right side
    277,951.26x = 32,637,210,738.35
  5. Step 5: Solve for x
    x = 32,637,210,738.35/277,951.26
  6. Step 6: Final answer
    x = 117,420.63

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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.