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Finding the Fourth Proportional to 320,698.72, 481,060.32 and 143,207.20

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Solution

The fourth proportional to 320,698.72, 481,060.32 and 143,207.20 is: 214,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,698.72 : 481,060.32 = 143,207.20 : x
  2. Step 2: Convert to fraction form
    320,698.72/481,060.32 = 143,207.20/x
  3. Step 3: Cross multiply
    320,698.72x = 481,060.32 × 143,207.20
  4. Step 4: Simplify right side
    320,698.72x = 68,891,301,458.30
  5. Step 5: Solve for x
    x = 68,891,301,458.30/320,698.72
  6. Step 6: Final answer
    x = 214,816.27

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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.