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Finding the Fourth Proportional to 355,707.30, 490,891.78 and 204,852.90

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Solution

The fourth proportional to 355,707.30, 490,891.78 and 204,852.90 is: 282,706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,707.30 : 490,891.78 = 204,852.90 : x
  2. Step 2: Convert to fraction form
    355,707.30/490,891.78 = 204,852.90/x
  3. Step 3: Cross multiply
    355,707.30x = 490,891.78 × 204,852.90
  4. Step 4: Simplify right side
    355,707.30x = 100,560,604,719.16
  5. Step 5: Solve for x
    x = 100,560,604,719.16/355,707.30
  6. Step 6: Final answer
    x = 282,706.05

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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.