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Finding the Fourth Proportional to 298,723.64, 447,032.46 and 186,456.56

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Solution

The fourth proportional to 298,723.64, 447,032.46 and 186,456.56 is: 279,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,723.64 : 447,032.46 = 186,456.56 : x
  2. Step 2: Convert to fraction form
    298,723.64/447,032.46 = 186,456.56/x
  3. Step 3: Cross multiply
    298,723.64x = 447,032.46 × 186,456.56
  4. Step 4: Simplify right side
    298,723.64x = 83,352,134,699.94
  5. Step 5: Solve for x
    x = 83,352,134,699.94/298,723.64
  6. Step 6: Final answer
    x = 279,027.58

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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.