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Finding the Fourth Proportional to 494,169,900.84, 682,014,941.15 and 285,325,692.89

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Solution

The fourth proportional to 494,169,900.84, 682,014,941.15 and 285,325,692.89 is: 393,784,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,169,900.84 : 682,014,941.15 = 285,325,692.89 : x
  2. Step 2: Convert to fraction form
    494,169,900.84/682,014,941.15 = 285,325,692.89/x
  3. Step 3: Cross multiply
    494,169,900.84x = 682,014,941.15 × 285,325,692.89
  4. Step 4: Simplify right side
    494,169,900.84x = 194,596,385,640,119,616
  5. Step 5: Solve for x
    x = 194,596,385,640,119,616/494,169,900.84
  6. Step 6: Final answer
    x = 393,784,375.19

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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.