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Finding the Fourth Proportional to 354,823.54, 489,668.09 and 193,687.20

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Solution

The fourth proportional to 354,823.54, 489,668.09 and 193,687.20 is: 267,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,823.54 : 489,668.09 = 193,687.20 : x
  2. Step 2: Convert to fraction form
    354,823.54/489,668.09 = 193,687.20/x
  3. Step 3: Cross multiply
    354,823.54x = 489,668.09 × 193,687.20
  4. Step 4: Simplify right side
    354,823.54x = 94,842,440,313.01
  5. Step 5: Solve for x
    x = 94,842,440,313.01/354,823.54
  6. Step 6: Final answer
    x = 267,294.67

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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.