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Finding the Fourth Proportional to 355,488.96, 490,628.16 and 204,556.80

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Solution

The fourth proportional to 355,488.96, 490,628.16 and 204,556.80 is: 282,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,488.96 : 490,628.16 = 204,556.80 : x
  2. Step 2: Convert to fraction form
    355,488.96/490,628.16 = 204,556.80/x
  3. Step 3: Cross multiply
    355,488.96x = 490,628.16 × 204,556.80
  4. Step 4: Simplify right side
    355,488.96x = 100,361,326,399.49
  5. Step 5: Solve for x
    x = 100,361,326,399.49/355,488.96
  6. Step 6: Final answer
    x = 282,319.11

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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.