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Finding the Fourth Proportional to 355,148.16, 490,119.36 and 204,245.28

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Solution

The fourth proportional to 355,148.16, 490,119.36 and 204,245.28 is: 281,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,148.16 : 490,119.36 = 204,245.28 : x
  2. Step 2: Convert to fraction form
    355,148.16/490,119.36 = 204,245.28/x
  3. Step 3: Cross multiply
    355,148.16x = 490,119.36 × 204,245.28
  4. Step 4: Simplify right side
    355,148.16x = 100,104,565,916.62
  5. Step 5: Solve for x
    x = 100,104,565,916.62/355,148.16
  6. Step 6: Final answer
    x = 281,867.05

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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.