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Finding the Fourth Proportional to 542,994,206.40, 814,491,309.60 and 197,959,089.60

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Solution

The fourth proportional to 542,994,206.40, 814,491,309.60 and 197,959,089.60 is: 296,938,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,994,206.40 : 814,491,309.60 = 197,959,089.60 : x
  2. Step 2: Convert to fraction form
    542,994,206.40/814,491,309.60 = 197,959,089.60/x
  3. Step 3: Cross multiply
    542,994,206.40x = 814,491,309.60 × 197,959,089.60
  4. Step 4: Simplify right side
    542,994,206.40x = 161,235,958,135,527,744
  5. Step 5: Solve for x
    x = 161,235,958,135,527,744/542,994,206.40
  6. Step 6: Final answer
    x = 296,938,634.40

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1.5x scale

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.