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Finding the Fourth Proportional to 214,000, 320,879.94 and 146,608.16

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Solution

The fourth proportional to 214,000, 320,879.94 and 146,608.16 is: 219,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,000 : 320,879.94 = 146,608.16 : x
  2. Step 2: Convert to fraction form
    214,000/320,879.94 = 146,608.16/x
  3. Step 3: Cross multiply
    214,000x = 320,879.94 × 146,608.16
  4. Step 4: Simplify right side
    214,000x = 47,043,617,584.31
  5. Step 5: Solve for x
    x = 47,043,617,584.31/214,000
  6. Step 6: Final answer
    x = 219,829.99

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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.