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Finding the Fourth Proportional to 259,323.90, 389,277.45 and 200,420.70

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Solution

The fourth proportional to 259,323.90, 389,277.45 and 200,420.70 is: 300,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,323.90 : 389,277.45 = 200,420.70 : x
  2. Step 2: Convert to fraction form
    259,323.90/389,277.45 = 200,420.70/x
  3. Step 3: Cross multiply
    259,323.90x = 389,277.45 × 200,420.70
  4. Step 4: Simplify right side
    259,323.90x = 78,019,259,023.22
  5. Step 5: Solve for x
    x = 78,019,259,023.22/259,323.90
  6. Step 6: Final answer
    x = 300,856.42

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1.5x scale

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.