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Finding the Fourth Proportional to 298,385.98, 447,080.74 and 209,480.32

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Solution

The fourth proportional to 298,385.98, 447,080.74 and 209,480.32 is: 313,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,385.98 : 447,080.74 = 209,480.32 : x
  2. Step 2: Convert to fraction form
    298,385.98/447,080.74 = 209,480.32/x
  3. Step 3: Cross multiply
    298,385.98x = 447,080.74 × 209,480.32
  4. Step 4: Simplify right side
    298,385.98x = 93,654,616,481.04
  5. Step 5: Solve for x
    x = 93,654,616,481.04/298,385.98
  6. Step 6: Final answer
    x = 313,870.70

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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.