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Finding the Fourth Proportional to 356,994,142.80, 492,651,914.76 and 200,361,249.79

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Solution

The fourth proportional to 356,994,142.80, 492,651,914.76 and 200,361,249.79 is: 276,498,523.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,994,142.80 : 492,651,914.76 = 200,361,249.79 : x
  2. Step 2: Convert to fraction form
    356,994,142.80/492,651,914.76 = 200,361,249.79/x
  3. Step 3: Cross multiply
    356,994,142.80x = 492,651,914.76 × 200,361,249.79
  4. Step 4: Simplify right side
    356,994,142.80x = 98,708,353,354,855,168
  5. Step 5: Solve for x
    x = 98,708,353,354,855,168/356,994,142.80
  6. Step 6: Final answer
    x = 276,498,523.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.