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Finding the Fourth Proportional to 206,421.80, 288,640.60 and 206,421.80

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Solution

The fourth proportional to 206,421.80, 288,640.60 and 206,421.80 is: 288,640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,421.80 : 288,640.60 = 206,421.80 : x
  2. Step 2: Convert to fraction form
    206,421.80/288,640.60 = 206,421.80/x
  3. Step 3: Cross multiply
    206,421.80x = 288,640.60 × 206,421.80
  4. Step 4: Simplify right side
    206,421.80x = 59,581,712,205.08
  5. Step 5: Solve for x
    x = 59,581,712,205.08/206,421.80
  6. Step 6: Final answer
    x = 288,640.60

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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.