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Finding the Fourth Proportional to 355,047.34, 489,962.72 and 193,902.44

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Solution

The fourth proportional to 355,047.34, 489,962.72 and 193,902.44 is: 267,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,047.34 : 489,962.72 = 193,902.44 : x
  2. Step 2: Convert to fraction form
    355,047.34/489,962.72 = 193,902.44/x
  3. Step 3: Cross multiply
    355,047.34x = 489,962.72 × 193,902.44
  4. Step 4: Simplify right side
    355,047.34x = 95,004,966,917.04
  5. Step 5: Solve for x
    x = 95,004,966,917.04/355,047.34
  6. Step 6: Final answer
    x = 267,583.94

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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.