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Finding the Fourth Proportional to 394,891,969.20, 592,337,953.80 and 280,100,713.20

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Solution

The fourth proportional to 394,891,969.20, 592,337,953.80 and 280,100,713.20 is: 420,151,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,891,969.20 : 592,337,953.80 = 280,100,713.20 : x
  2. Step 2: Convert to fraction form
    394,891,969.20/592,337,953.80 = 280,100,713.20/x
  3. Step 3: Cross multiply
    394,891,969.20x = 592,337,953.80 × 280,100,713.20
  4. Step 4: Simplify right side
    394,891,969.20x = 165,914,283,314,808,640
  5. Step 5: Solve for x
    x = 165,914,283,314,808,640/394,891,969.20
  6. Step 6: Final answer
    x = 420,151,069.80

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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.