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Finding the Fourth Proportional to 263,428.80, 395,143.20 and 259,929.60

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Solution

The fourth proportional to 263,428.80, 395,143.20 and 259,929.60 is: 389,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,428.80 : 395,143.20 = 259,929.60 : x
  2. Step 2: Convert to fraction form
    263,428.80/395,143.20 = 259,929.60/x
  3. Step 3: Cross multiply
    263,428.80x = 395,143.20 × 259,929.60
  4. Step 4: Simplify right side
    263,428.80x = 102,709,413,918.72
  5. Step 5: Solve for x
    x = 102,709,413,918.72/263,428.80
  6. Step 6: Final answer
    x = 389,894.40

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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.