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Finding the Fourth Proportional to 289,559.20, 435,505.20 and 259,232.80

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Solution

The fourth proportional to 289,559.20, 435,505.20 and 259,232.80 is: 389,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,559.20 : 435,505.20 = 259,232.80 : x
  2. Step 2: Convert to fraction form
    289,559.20/435,505.20 = 259,232.80/x
  3. Step 3: Cross multiply
    289,559.20x = 435,505.20 × 259,232.80
  4. Step 4: Simplify right side
    289,559.20x = 112,897,232,410.56
  5. Step 5: Solve for x
    x = 112,897,232,410.56/289,559.20
  6. Step 6: Final answer
    x = 389,893.44

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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.