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Finding the Fourth Proportional to 354,550.24, 489,288.56 and 193,408

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Solution

The fourth proportional to 354,550.24, 489,288.56 and 193,408 is: 266,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,550.24 : 489,288.56 = 193,408 : x
  2. Step 2: Convert to fraction form
    354,550.24/489,288.56 = 193,408/x
  3. Step 3: Cross multiply
    354,550.24x = 489,288.56 × 193,408
  4. Step 4: Simplify right side
    354,550.24x = 94,632,321,812.48
  5. Step 5: Solve for x
    x = 94,632,321,812.48/354,550.24
  6. Step 6: Final answer
    x = 266,908.07

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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.