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Finding the Fourth Proportional to 355,470.44, 490,549.62 and 204,567.56

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Solution

The fourth proportional to 355,470.44, 490,549.62 and 204,567.56 is: 282,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,470.44 : 490,549.62 = 204,567.56 : x
  2. Step 2: Convert to fraction form
    355,470.44/490,549.62 = 204,567.56/x
  3. Step 3: Cross multiply
    355,470.44x = 490,549.62 × 204,567.56
  4. Step 4: Simplify right side
    355,470.44x = 100,350,538,822.33
  5. Step 5: Solve for x
    x = 100,350,538,822.33/355,470.44
  6. Step 6: Final answer
    x = 282,303.47

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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.