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Finding the Fourth Proportional to 205,556.90, 288,609.10 and 205,556.90

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Solution

The fourth proportional to 205,556.90, 288,609.10 and 205,556.90 is: 288,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,556.90 : 288,609.10 = 205,556.90 : x
  2. Step 2: Convert to fraction form
    205,556.90/288,609.10 = 205,556.90/x
  3. Step 3: Cross multiply
    205,556.90x = 288,609.10 × 205,556.90
  4. Step 4: Simplify right side
    205,556.90x = 59,325,591,907.79
  5. Step 5: Solve for x
    x = 59,325,591,907.79/205,556.90
  6. Step 6: Final answer
    x = 288,609.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.