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Finding the Fourth Proportional to 409,244.40, 613,720.80 and 143,013.60

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Solution

The fourth proportional to 409,244.40, 613,720.80 and 143,013.60 is: 214,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,244.40 : 613,720.80 = 143,013.60 : x
  2. Step 2: Convert to fraction form
    409,244.40/613,720.80 = 143,013.60/x
  3. Step 3: Cross multiply
    409,244.40x = 613,720.80 × 143,013.60
  4. Step 4: Simplify right side
    409,244.40x = 87,770,421,002.88
  5. Step 5: Solve for x
    x = 87,770,421,002.88/409,244.40
  6. Step 6: Final answer
    x = 214,469.45

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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.