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Finding the Fourth Proportional to 354,950.28, 489,827.66 and 193,804.83

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Solution

The fourth proportional to 354,950.28, 489,827.66 and 193,804.83 is: 267,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,950.28 : 489,827.66 = 193,804.83 : x
  2. Step 2: Convert to fraction form
    354,950.28/489,827.66 = 193,804.83/x
  3. Step 3: Cross multiply
    354,950.28x = 489,827.66 × 193,804.83
  4. Step 4: Simplify right side
    354,950.28x = 94,930,965,406.57
  5. Step 5: Solve for x
    x = 94,930,965,406.57/354,950.28
  6. Step 6: Final answer
    x = 267,448.63

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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.