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Finding the Fourth Proportional to 320,003.73, 479,622.87 and 142,309.98

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Solution

The fourth proportional to 320,003.73, 479,622.87 and 142,309.98 is: 213,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,003.73 : 479,622.87 = 142,309.98 : x
  2. Step 2: Convert to fraction form
    320,003.73/479,622.87 = 142,309.98/x
  3. Step 3: Cross multiply
    320,003.73x = 479,622.87 × 142,309.98
  4. Step 4: Simplify right side
    320,003.73x = 68,255,121,037.24
  5. Step 5: Solve for x
    x = 68,255,121,037.24/320,003.73
  6. Step 6: Final answer
    x = 213,294.77

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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.