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Finding the Fourth Proportional to 492,794.85, 680,202.33 and 288,889.91

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Solution

The fourth proportional to 492,794.85, 680,202.33 and 288,889.91 is: 398,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,794.85 : 680,202.33 = 288,889.91 : x
  2. Step 2: Convert to fraction form
    492,794.85/680,202.33 = 288,889.91/x
  3. Step 3: Cross multiply
    492,794.85x = 680,202.33 × 288,889.91
  4. Step 4: Simplify right side
    492,794.85x = 196,503,587,961.90
  5. Step 5: Solve for x
    x = 196,503,587,961.90/492,794.85
  6. Step 6: Final answer
    x = 398,753.33

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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.