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Finding the Fourth Proportional to 355,117.34, 490,076.34 and 204,214.34

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Solution

The fourth proportional to 355,117.34, 490,076.34 and 204,214.34 is: 281,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,117.34 : 490,076.34 = 204,214.34 : x
  2. Step 2: Convert to fraction form
    355,117.34/490,076.34 = 204,214.34/x
  3. Step 3: Cross multiply
    355,117.34x = 490,076.34 × 204,214.34
  4. Step 4: Simplify right side
    355,117.34x = 100,080,616,322.72
  5. Step 5: Solve for x
    x = 100,080,616,322.72/355,117.34
  6. Step 6: Final answer
    x = 281,824.08

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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.