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Finding the Fourth Proportional to 680,494, 1,020,408.36 and 410,900.08

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Solution

The fourth proportional to 680,494, 1,020,408.36 and 410,900.08 is: 616,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,494 : 1,020,408.36 = 410,900.08 : x
  2. Step 2: Convert to fraction form
    680,494/1,020,408.36 = 410,900.08/x
  3. Step 3: Cross multiply
    680,494x = 1,020,408.36 × 410,900.08
  4. Step 4: Simplify right side
    680,494x = 419,285,876,756.67
  5. Step 5: Solve for x
    x = 419,285,876,756.67/680,494
  6. Step 6: Final answer
    x = 616,149.26

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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.