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Finding the Fourth Proportional to 354,494.23, 489,207.86 and 193,349.27

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Solution

The fourth proportional to 354,494.23, 489,207.86 and 193,349.27 is: 266,825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,494.23 : 489,207.86 = 193,349.27 : x
  2. Step 2: Convert to fraction form
    354,494.23/489,207.86 = 193,349.27/x
  3. Step 3: Cross multiply
    354,494.23x = 489,207.86 × 193,349.27
  4. Step 4: Simplify right side
    354,494.23x = 94,587,985,078.78
  5. Step 5: Solve for x
    x = 94,587,985,078.78/354,494.23
  6. Step 6: Final answer
    x = 266,825.18

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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.