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Finding the Fourth Proportional to 355,649.44, 490,895.76 and 204,806.56

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Solution

The fourth proportional to 355,649.44, 490,895.76 and 204,806.56 is: 282,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,649.44 : 490,895.76 = 204,806.56 : x
  2. Step 2: Convert to fraction form
    355,649.44/490,895.76 = 204,806.56/x
  3. Step 3: Cross multiply
    355,649.44x = 490,895.76 × 204,806.56
  4. Step 4: Simplify right side
    355,649.44x = 100,538,671,924.19
  5. Step 5: Solve for x
    x = 100,538,671,924.19/355,649.44
  6. Step 6: Final answer
    x = 282,690.37

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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.