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Finding the Fourth Proportional to 421,910.53, 582,214.10 and 230,887.02

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Solution

The fourth proportional to 421,910.53, 582,214.10 and 230,887.02 is: 318,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,910.53 : 582,214.10 = 230,887.02 : x
  2. Step 2: Convert to fraction form
    421,910.53/582,214.10 = 230,887.02/x
  3. Step 3: Cross multiply
    421,910.53x = 582,214.10 × 230,887.02
  4. Step 4: Simplify right side
    421,910.53x = 134,425,678,550.98
  5. Step 5: Solve for x
    x = 134,425,678,550.98/421,910.53
  6. Step 6: Final answer
    x = 318,611.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.