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Finding the Fourth Proportional to 354,558.47, 489,297.64 and 193,419.50

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Solution

The fourth proportional to 354,558.47, 489,297.64 and 193,419.50 is: 266,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,558.47 : 489,297.64 = 193,419.50 : x
  2. Step 2: Convert to fraction form
    354,558.47/489,297.64 = 193,419.50/x
  3. Step 3: Cross multiply
    354,558.47x = 489,297.64 × 193,419.50
  4. Step 4: Simplify right side
    354,558.47x = 94,639,705,619.68
  5. Step 5: Solve for x
    x = 94,639,705,619.68/354,558.47
  6. Step 6: Final answer
    x = 266,922.70

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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.