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Finding the Fourth Proportional to 358,872.29, 495,254.94 and 205,938.49

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Solution

The fourth proportional to 358,872.29, 495,254.94 and 205,938.49 is: 284,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,872.29 : 495,254.94 = 205,938.49 : x
  2. Step 2: Convert to fraction form
    358,872.29/495,254.94 = 205,938.49/x
  3. Step 3: Cross multiply
    358,872.29x = 495,254.94 × 205,938.49
  4. Step 4: Simplify right side
    358,872.29x = 101,992,054,508.64
  5. Step 5: Solve for x
    x = 101,992,054,508.64/358,872.29
  6. Step 6: Final answer
    x = 284,201.53

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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.