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Finding the Fourth Proportional to 277,977.63, 416,976.46 and 78,315.46

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Solution

The fourth proportional to 277,977.63, 416,976.46 and 78,315.46 is: 117,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,977.63 : 416,976.46 = 78,315.46 : x
  2. Step 2: Convert to fraction form
    277,977.63/416,976.46 = 78,315.46/x
  3. Step 3: Cross multiply
    277,977.63x = 416,976.46 × 78,315.46
  4. Step 4: Simplify right side
    277,977.63x = 32,655,703,469.86
  5. Step 5: Solve for x
    x = 32,655,703,469.86/277,977.63
  6. Step 6: Final answer
    x = 117,476.01

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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.