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Finding the Fourth Proportional to 354,884, 489,740.70 and 193,739.06

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Solution

The fourth proportional to 354,884, 489,740.70 and 193,739.06 is: 267,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,884 : 489,740.70 = 193,739.06 : x
  2. Step 2: Convert to fraction form
    354,884/489,740.70 = 193,739.06/x
  3. Step 3: Cross multiply
    354,884x = 489,740.70 × 193,739.06
  4. Step 4: Simplify right side
    354,884x = 94,881,902,861.74
  5. Step 5: Solve for x
    x = 94,881,902,861.74/354,884
  6. Step 6: Final answer
    x = 267,360.33

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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.