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Finding the Fourth Proportional to 320,469.40, 480,704.10 and 143,322.40

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Solution

The fourth proportional to 320,469.40, 480,704.10 and 143,322.40 is: 214,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,469.40 : 480,704.10 = 143,322.40 : x
  2. Step 2: Convert to fraction form
    320,469.40/480,704.10 = 143,322.40/x
  3. Step 3: Cross multiply
    320,469.40x = 480,704.10 × 143,322.40
  4. Step 4: Simplify right side
    320,469.40x = 68,895,665,301.84
  5. Step 5: Solve for x
    x = 68,895,665,301.84/320,469.40
  6. Step 6: Final answer
    x = 214,983.60

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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.