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Finding the Fourth Proportional to 354,916.65, 489,791.91 and 193,772.12

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Solution

The fourth proportional to 354,916.65, 489,791.91 and 193,772.12 is: 267,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,916.65 : 489,791.91 = 193,772.12 : x
  2. Step 2: Convert to fraction form
    354,916.65/489,791.91 = 193,772.12/x
  3. Step 3: Cross multiply
    354,916.65x = 489,791.91 × 193,772.12
  4. Step 4: Simplify right side
    354,916.65x = 94,908,014,310.59
  5. Step 5: Solve for x
    x = 94,908,014,310.59/354,916.65
  6. Step 6: Final answer
    x = 267,409.30

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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.