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Finding the Fourth Proportional to 284,790.54, 426,407.64 and 204,908.34

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Solution

The fourth proportional to 284,790.54, 426,407.64 and 204,908.34 is: 306,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,790.54 : 426,407.64 = 204,908.34 : x
  2. Step 2: Convert to fraction form
    284,790.54/426,407.64 = 204,908.34/x
  3. Step 3: Cross multiply
    284,790.54x = 426,407.64 × 204,908.34
  4. Step 4: Simplify right side
    284,790.54x = 87,374,481,675.72
  5. Step 5: Solve for x
    x = 87,374,481,675.72/284,790.54
  6. Step 6: Final answer
    x = 306,802.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.