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Finding the Fourth Proportional to 298,287.36, 447,507.84 and 111,300.48

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Solution

The fourth proportional to 298,287.36, 447,507.84 and 111,300.48 is: 166,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,287.36 : 447,507.84 = 111,300.48 : x
  2. Step 2: Convert to fraction form
    298,287.36/447,507.84 = 111,300.48/x
  3. Step 3: Cross multiply
    298,287.36x = 447,507.84 × 111,300.48
  4. Step 4: Simplify right side
    298,287.36x = 49,807,837,395.76
  5. Step 5: Solve for x
    x = 49,807,837,395.76/298,287.36
  6. Step 6: Final answer
    x = 166,979.38

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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.