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Finding the Fourth Proportional to 354,369.36, 489,026.16 and 193,224

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Solution

The fourth proportional to 354,369.36, 489,026.16 and 193,224 is: 266,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,369.36 : 489,026.16 = 193,224 : x
  2. Step 2: Convert to fraction form
    354,369.36/489,026.16 = 193,224/x
  3. Step 3: Cross multiply
    354,369.36x = 489,026.16 × 193,224
  4. Step 4: Simplify right side
    354,369.36x = 94,491,590,739.84
  5. Step 5: Solve for x
    x = 94,491,590,739.84/354,369.36
  6. Step 6: Final answer
    x = 266,647.18

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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.