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Finding the Fourth Proportional to 512,912.40, 770,290.20 and 496,323.60

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Solution

The fourth proportional to 512,912.40, 770,290.20 and 496,323.60 is: 745,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,912.40 : 770,290.20 = 496,323.60 : x
  2. Step 2: Convert to fraction form
    512,912.40/770,290.20 = 496,323.60/x
  3. Step 3: Cross multiply
    512,912.40x = 770,290.20 × 496,323.60
  4. Step 4: Simplify right side
    512,912.40x = 382,313,205,108.72
  5. Step 5: Solve for x
    x = 382,313,205,108.72/512,912.40
  6. Step 6: Final answer
    x = 745,377.19

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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.