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Finding the Fourth Proportional to 651,934.20, 978,311.70 and 277,951.80

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Solution

The fourth proportional to 651,934.20, 978,311.70 and 277,951.80 is: 417,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,934.20 : 978,311.70 = 277,951.80 : x
  2. Step 2: Convert to fraction form
    651,934.20/978,311.70 = 277,951.80/x
  3. Step 3: Cross multiply
    651,934.20x = 978,311.70 × 277,951.80
  4. Step 4: Simplify right side
    651,934.20x = 271,923,497,976.06
  5. Step 5: Solve for x
    x = 271,923,497,976.06/651,934.20
  6. Step 6: Final answer
    x = 417,102.67

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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.