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Finding the Fourth Proportional to 355,481.94, 490,565.52 and 204,579.06

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Solution

The fourth proportional to 355,481.94, 490,565.52 and 204,579.06 is: 282,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,481.94 : 490,565.52 = 204,579.06 : x
  2. Step 2: Convert to fraction form
    355,481.94/490,565.52 = 204,579.06/x
  3. Step 3: Cross multiply
    355,481.94x = 490,565.52 × 204,579.06
  4. Step 4: Simplify right side
    355,481.94x = 100,359,432,950.01
  5. Step 5: Solve for x
    x = 100,359,432,950.01/355,481.94
  6. Step 6: Final answer
    x = 282,319.36

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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.