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Finding the Fourth Proportional to 354,418.72, 489,097.96 and 193,269.64

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Solution

The fourth proportional to 354,418.72, 489,097.96 and 193,269.64 is: 266,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,418.72 : 489,097.96 = 193,269.64 : x
  2. Step 2: Convert to fraction form
    354,418.72/489,097.96 = 193,269.64/x
  3. Step 3: Cross multiply
    354,418.72x = 489,097.96 × 193,269.64
  4. Step 4: Simplify right side
    354,418.72x = 94,527,786,653.93
  5. Step 5: Solve for x
    x = 94,527,786,653.93/354,418.72
  6. Step 6: Final answer
    x = 266,712.17

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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.