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Finding the Fourth Proportional to 205,969.20, 288,771.60 and 205,969.20

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Solution

The fourth proportional to 205,969.20, 288,771.60 and 205,969.20 is: 288,771.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,969.20 : 288,771.60 = 205,969.20 : x
  2. Step 2: Convert to fraction form
    205,969.20/288,771.60 = 205,969.20/x
  3. Step 3: Cross multiply
    205,969.20x = 288,771.60 × 205,969.20
  4. Step 4: Simplify right side
    205,969.20x = 59,478,055,434.72
  5. Step 5: Solve for x
    x = 59,478,055,434.72/205,969.20
  6. Step 6: Final answer
    x = 288,771.60

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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.