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Finding the Fourth Proportional to 355,783.57, 491,003.09 and 204,929.17

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Solution

The fourth proportional to 355,783.57, 491,003.09 and 204,929.17 is: 282,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,783.57 : 491,003.09 = 204,929.17 : x
  2. Step 2: Convert to fraction form
    355,783.57/491,003.09 = 204,929.17/x
  3. Step 3: Cross multiply
    355,783.57x = 491,003.09 × 204,929.17
  4. Step 4: Simplify right side
    355,783.57x = 100,620,855,701.14
  5. Step 5: Solve for x
    x = 100,620,855,701.14/355,783.57
  6. Step 6: Final answer
    x = 282,814.79

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1.5x scale

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.