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Finding the Fourth Proportional to 409,369.60, 613,835.70 and 143,138.80

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Solution

The fourth proportional to 409,369.60, 613,835.70 and 143,138.80 is: 214,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,369.60 : 613,835.70 = 143,138.80 : x
  2. Step 2: Convert to fraction form
    409,369.60/613,835.70 = 143,138.80/x
  3. Step 3: Cross multiply
    409,369.60x = 613,835.70 × 143,138.80
  4. Step 4: Simplify right side
    409,369.60x = 87,863,705,495.16
  5. Step 5: Solve for x
    x = 87,863,705,495.16/409,369.60
  6. Step 6: Final answer
    x = 214,631.73

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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.