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Finding the Fourth Proportional to 681,984,000.20, 1,022,976,000.30 and 409,662,259.40

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Solution

The fourth proportional to 681,984,000.20, 1,022,976,000.30 and 409,662,259.40 is: 614,493,389.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,984,000.20 : 1,022,976,000.30 = 409,662,259.40 : x
  2. Step 2: Convert to fraction form
    681,984,000.20/1,022,976,000.30 = 409,662,259.40/x
  3. Step 3: Cross multiply
    681,984,000.20x = 1,022,976,000.30 × 409,662,259.40
  4. Step 4: Simplify right side
    681,984,000.20x = 419,074,659,594,873,024
  5. Step 5: Solve for x
    x = 419,074,659,594,873,024/681,984,000.20
  6. Step 6: Final answer
    x = 614,493,389.10

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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.