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Finding the Fourth Proportional to 539,393,756.80, 809,468,548.80 and 345,776,022.40

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Solution

The fourth proportional to 539,393,756.80, 809,468,548.80 and 345,776,022.40 is: 518,906,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,393,756.80 : 809,468,548.80 = 345,776,022.40 : x
  2. Step 2: Convert to fraction form
    539,393,756.80/809,468,548.80 = 345,776,022.40/x
  3. Step 3: Cross multiply
    539,393,756.80x = 809,468,548.80 × 345,776,022.40
  4. Step 4: Simplify right side
    539,393,756.80x = 279,894,815,061,964,256
  5. Step 5: Solve for x
    x = 279,894,815,061,964,256/539,393,756.80
  6. Step 6: Final answer
    x = 518,906,293.47

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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.