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Finding the Fourth Proportional to 394,415,427.80, 590,489,400.90 and 241,360,419.80

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Solution

The fourth proportional to 394,415,427.80, 590,489,400.90 and 241,360,419.80 is: 361,346,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,415,427.80 : 590,489,400.90 = 241,360,419.80 : x
  2. Step 2: Convert to fraction form
    394,415,427.80/590,489,400.90 = 241,360,419.80/x
  3. Step 3: Cross multiply
    394,415,427.80x = 590,489,400.90 × 241,360,419.80
  4. Step 4: Simplify right side
    394,415,427.80x = 142,520,769,688,674,496
  5. Step 5: Solve for x
    x = 142,520,769,688,674,496/394,415,427.80
  6. Step 6: Final answer
    x = 361,346,843.06

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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.