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Finding the Fourth Proportional to 298,547.37, 447,964.43 and 186,198.75

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Solution

The fourth proportional to 298,547.37, 447,964.43 and 186,198.75 is: 279,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,547.37 : 447,964.43 = 186,198.75 : x
  2. Step 2: Convert to fraction form
    298,547.37/447,964.43 = 186,198.75/x
  3. Step 3: Cross multiply
    298,547.37x = 447,964.43 × 186,198.75
  4. Step 4: Simplify right side
    298,547.37x = 83,410,415,979.47
  5. Step 5: Solve for x
    x = 83,410,415,979.47/298,547.37
  6. Step 6: Final answer
    x = 279,387.54

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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.