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Finding the Fourth Proportional to 354,329.54, 488,976.98 and 193,187.28

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Solution

The fourth proportional to 354,329.54, 488,976.98 and 193,187.28 is: 266,599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,329.54 : 488,976.98 = 193,187.28 : x
  2. Step 2: Convert to fraction form
    354,329.54/488,976.98 = 193,187.28/x
  3. Step 3: Cross multiply
    354,329.54x = 488,976.98 × 193,187.28
  4. Step 4: Simplify right side
    354,329.54x = 94,464,131,409.39
  5. Step 5: Solve for x
    x = 94,464,131,409.39/354,329.54
  6. Step 6: Final answer
    x = 266,599.65

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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.