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Finding the Fourth Proportional to 321,842.43, 482,755.50 and 153,481.77

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Solution

The fourth proportional to 321,842.43, 482,755.50 and 153,481.77 is: 230,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,842.43 : 482,755.50 = 153,481.77 : x
  2. Step 2: Convert to fraction form
    321,842.43/482,755.50 = 153,481.77/x
  3. Step 3: Cross multiply
    321,842.43x = 482,755.50 × 153,481.77
  4. Step 4: Simplify right side
    321,842.43x = 74,094,168,617.24
  5. Step 5: Solve for x
    x = 74,094,168,617.24/321,842.43
  6. Step 6: Final answer
    x = 230,218.77

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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.