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Finding the Fourth Proportional to 809,597.80, 1,212,452.70 and 434,794.60

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Solution

The fourth proportional to 809,597.80, 1,212,452.70 and 434,794.60 is: 651,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,597.80 : 1,212,452.70 = 434,794.60 : x
  2. Step 2: Convert to fraction form
    809,597.80/1,212,452.70 = 434,794.60/x
  3. Step 3: Cross multiply
    809,597.80x = 1,212,452.70 × 434,794.60
  4. Step 4: Simplify right side
    809,597.80x = 527,167,886,715.42
  5. Step 5: Solve for x
    x = 527,167,886,715.42/809,597.80
  6. Step 6: Final answer
    x = 651,147.87

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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.