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Finding the Fourth Proportional to 358,783.56, 495,123.84 and 205,828.43

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Solution

The fourth proportional to 358,783.56, 495,123.84 and 205,828.43 is: 284,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,783.56 : 495,123.84 = 205,828.43 : x
  2. Step 2: Convert to fraction form
    358,783.56/495,123.84 = 205,828.43/x
  3. Step 3: Cross multiply
    358,783.56x = 495,123.84 × 205,828.43
  4. Step 4: Simplify right side
    358,783.56x = 101,910,560,167.15
  5. Step 5: Solve for x
    x = 101,910,560,167.15/358,783.56
  6. Step 6: Final answer
    x = 284,044.68

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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.