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Finding the Fourth Proportional to 258,851.20, 388,276.80 and 205,974.40

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Solution

The fourth proportional to 258,851.20, 388,276.80 and 205,974.40 is: 308,961.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,851.20 : 388,276.80 = 205,974.40 : x
  2. Step 2: Convert to fraction form
    258,851.20/388,276.80 = 205,974.40/x
  3. Step 3: Cross multiply
    258,851.20x = 388,276.80 × 205,974.40
  4. Step 4: Simplify right side
    258,851.20x = 79,975,080,913.92
  5. Step 5: Solve for x
    x = 79,975,080,913.92/258,851.20
  6. Step 6: Final answer
    x = 308,961.60

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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.