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Finding the Fourth Proportional to 513,874.20, 770,811.30 and 425,400.60

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Solution

The fourth proportional to 513,874.20, 770,811.30 and 425,400.60 is: 638,100.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,874.20 : 770,811.30 = 425,400.60 : x
  2. Step 2: Convert to fraction form
    513,874.20/770,811.30 = 425,400.60/x
  3. Step 3: Cross multiply
    513,874.20x = 770,811.30 × 425,400.60
  4. Step 4: Simplify right side
    513,874.20x = 327,903,589,506.78
  5. Step 5: Solve for x
    x = 327,903,589,506.78/513,874.20
  6. Step 6: Final answer
    x = 638,100.90

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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.