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Finding the Fourth Proportional to 277,951.92, 416,952.48 and 78,274.08

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Solution

The fourth proportional to 277,951.92, 416,952.48 and 78,274.08 is: 117,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,951.92 : 416,952.48 = 78,274.08 : x
  2. Step 2: Convert to fraction form
    277,951.92/416,952.48 = 78,274.08/x
  3. Step 3: Cross multiply
    277,951.92x = 416,952.48 × 78,274.08
  4. Step 4: Simplify right side
    277,951.92x = 32,636,571,775.72
  5. Step 5: Solve for x
    x = 32,636,571,775.72/277,951.92
  6. Step 6: Final answer
    x = 117,418.05

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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.