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Finding the Fourth Proportional to 206,436.80, 288,661.60 and 206,436.80

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Solution

The fourth proportional to 206,436.80, 288,661.60 and 206,436.80 is: 288,661.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,436.80 : 288,661.60 = 206,436.80 : x
  2. Step 2: Convert to fraction form
    206,436.80/288,661.60 = 206,436.80/x
  3. Step 3: Cross multiply
    206,436.80x = 288,661.60 × 206,436.80
  4. Step 4: Simplify right side
    206,436.80x = 59,590,376,986.88
  5. Step 5: Solve for x
    x = 59,590,376,986.88/206,436.80
  6. Step 6: Final answer
    x = 288,661.60

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1.5x scale

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.