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Finding the Fourth Proportional to 354,405.79, 489,091.80 and 193,269.66

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Solution

The fourth proportional to 354,405.79, 489,091.80 and 193,269.66 is: 266,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,405.79 : 489,091.80 = 193,269.66 : x
  2. Step 2: Convert to fraction form
    354,405.79/489,091.80 = 193,269.66/x
  3. Step 3: Cross multiply
    354,405.79x = 489,091.80 × 193,269.66
  4. Step 4: Simplify right side
    354,405.79x = 94,526,605,894.79
  5. Step 5: Solve for x
    x = 94,526,605,894.79/354,405.79
  6. Step 6: Final answer
    x = 266,718.57

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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.