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Finding the Fourth Proportional to 298,308.80, 447,464.10 and 73,669.28

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Solution

The fourth proportional to 298,308.80, 447,464.10 and 73,669.28 is: 110,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,308.80 : 447,464.10 = 73,669.28 : x
  2. Step 2: Convert to fraction form
    298,308.80/447,464.10 = 73,669.28/x
  3. Step 3: Cross multiply
    298,308.80x = 447,464.10 × 73,669.28
  4. Step 4: Simplify right side
    298,308.80x = 32,964,358,072.85
  5. Step 5: Solve for x
    x = 32,964,358,072.85/298,308.80
  6. Step 6: Final answer
    x = 110,504.14

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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.