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Finding the Fourth Proportional to 354,319.24, 489,004.68 and 203,413

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Solution

The fourth proportional to 354,319.24, 489,004.68 and 203,413 is: 280,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,319.24 : 489,004.68 = 203,413 : x
  2. Step 2: Convert to fraction form
    354,319.24/489,004.68 = 203,413/x
  3. Step 3: Cross multiply
    354,319.24x = 489,004.68 × 203,413
  4. Step 4: Simplify right side
    354,319.24x = 99,469,908,972.84
  5. Step 5: Solve for x
    x = 99,469,908,972.84/354,319.24
  6. Step 6: Final answer
    x = 280,735.27

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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.