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Finding the Fourth Proportional to 421,003.53, 580,819.92 and 259,578.32

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Solution

The fourth proportional to 421,003.53, 580,819.92 and 259,578.32 is: 358,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,003.53 : 580,819.92 = 259,578.32 : x
  2. Step 2: Convert to fraction form
    421,003.53/580,819.92 = 259,578.32/x
  3. Step 3: Cross multiply
    421,003.53x = 580,819.92 × 259,578.32
  4. Step 4: Simplify right side
    421,003.53x = 150,768,256,152.04
  5. Step 5: Solve for x
    x = 150,768,256,152.04/421,003.53
  6. Step 6: Final answer
    x = 358,116.37

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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.