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Finding the Fourth Proportional to 531,363,387.60, 797,194,380.60 and 258,743,048.40

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Solution

The fourth proportional to 531,363,387.60, 797,194,380.60 and 258,743,048.40 is: 388,187,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,363,387.60 : 797,194,380.60 = 258,743,048.40 : x
  2. Step 2: Convert to fraction form
    531,363,387.60/797,194,380.60 = 258,743,048.40/x
  3. Step 3: Cross multiply
    531,363,387.60x = 797,194,380.60 × 258,743,048.40
  4. Step 4: Simplify right side
    531,363,387.60x = 206,268,504,203,793,824
  5. Step 5: Solve for x
    x = 206,268,504,203,793,824/531,363,387.60
  6. Step 6: Final answer
    x = 388,187,272.62

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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.