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Finding the Fourth Proportional to 512,564.40, 768,846.60 and 273,415.95

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Solution

The fourth proportional to 512,564.40, 768,846.60 and 273,415.95 is: 410,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,564.40 : 768,846.60 = 273,415.95 : x
  2. Step 2: Convert to fraction form
    512,564.40/768,846.60 = 273,415.95/x
  3. Step 3: Cross multiply
    512,564.40x = 768,846.60 × 273,415.95
  4. Step 4: Simplify right side
    512,564.40x = 210,214,923,543.27
  5. Step 5: Solve for x
    x = 210,214,923,543.27/512,564.40
  6. Step 6: Final answer
    x = 410,123.93

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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.