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Finding the Fourth Proportional to 289,310.40, 433,965.60 and 259,858.80

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Solution

The fourth proportional to 289,310.40, 433,965.60 and 259,858.80 is: 389,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,310.40 : 433,965.60 = 259,858.80 : x
  2. Step 2: Convert to fraction form
    289,310.40/433,965.60 = 259,858.80/x
  3. Step 3: Cross multiply
    289,310.40x = 433,965.60 × 259,858.80
  4. Step 4: Simplify right side
    289,310.40x = 112,769,780,057.28
  5. Step 5: Solve for x
    x = 112,769,780,057.28/289,310.40
  6. Step 6: Final answer
    x = 389,788.20

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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.