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Finding the Fourth Proportional to 394,902,002.80, 592,353,004.20 and 201,191,758.30

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Solution

The fourth proportional to 394,902,002.80, 592,353,004.20 and 201,191,758.30 is: 301,787,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,902,002.80 : 592,353,004.20 = 201,191,758.30 : x
  2. Step 2: Convert to fraction form
    394,902,002.80/592,353,004.20 = 201,191,758.30/x
  3. Step 3: Cross multiply
    394,902,002.80x = 592,353,004.20 × 201,191,758.30
  4. Step 4: Simplify right side
    394,902,002.80x = 119,176,542,449,285,296
  5. Step 5: Solve for x
    x = 119,176,542,449,285,296/394,902,002.80
  6. Step 6: Final answer
    x = 301,787,637.45

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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.