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Finding the Fourth Proportional to 494,352.25, 682,211.48 and 290,411.76

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Solution

The fourth proportional to 494,352.25, 682,211.48 and 290,411.76 is: 400,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,352.25 : 682,211.48 = 290,411.76 : x
  2. Step 2: Convert to fraction form
    494,352.25/682,211.48 = 290,411.76/x
  3. Step 3: Cross multiply
    494,352.25x = 682,211.48 × 290,411.76
  4. Step 4: Simplify right side
    494,352.25x = 198,122,239,883.33
  5. Step 5: Solve for x
    x = 198,122,239,883.33/494,352.25
  6. Step 6: Final answer
    x = 400,771.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.