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Finding the Fourth Proportional to 298,383.98, 447,077.74 and 209,478.32

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Solution

The fourth proportional to 298,383.98, 447,077.74 and 209,478.32 is: 313,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,383.98 : 447,077.74 = 209,478.32 : x
  2. Step 2: Convert to fraction form
    298,383.98/447,077.74 = 209,478.32/x
  3. Step 3: Cross multiply
    298,383.98x = 447,077.74 × 209,478.32
  4. Step 4: Simplify right side
    298,383.98x = 93,653,093,884.60
  5. Step 5: Solve for x
    x = 93,653,093,884.60/298,383.98
  6. Step 6: Final answer
    x = 313,867.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.