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Finding the Fourth Proportional to 357,512.94, 493,402.12 and 204,520.75

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Solution

The fourth proportional to 357,512.94, 493,402.12 and 204,520.75 is: 282,258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,512.94 : 493,402.12 = 204,520.75 : x
  2. Step 2: Convert to fraction form
    357,512.94/493,402.12 = 204,520.75/x
  3. Step 3: Cross multiply
    357,512.94x = 493,402.12 × 204,520.75
  4. Step 4: Simplify right side
    357,512.94x = 100,910,969,889.18
  5. Step 5: Solve for x
    x = 100,910,969,889.18/357,512.94
  6. Step 6: Final answer
    x = 282,258.23

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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.