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Finding the Fourth Proportional to 409,002.20, 613,503.30 and 231,855.20

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Solution

The fourth proportional to 409,002.20, 613,503.30 and 231,855.20 is: 347,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,002.20 : 613,503.30 = 231,855.20 : x
  2. Step 2: Convert to fraction form
    409,002.20/613,503.30 = 231,855.20/x
  3. Step 3: Cross multiply
    409,002.20x = 613,503.30 × 231,855.20
  4. Step 4: Simplify right side
    409,002.20x = 142,243,930,322.16
  5. Step 5: Solve for x
    x = 142,243,930,322.16/409,002.20
  6. Step 6: Final answer
    x = 347,782.80

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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.