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Finding the Fourth Proportional to 298,326.56, 447,653.82 and 140,550.98

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Solution

The fourth proportional to 298,326.56, 447,653.82 and 140,550.98 is: 210,903.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,326.56 : 447,653.82 = 140,550.98 : x
  2. Step 2: Convert to fraction form
    298,326.56/447,653.82 = 140,550.98/x
  3. Step 3: Cross multiply
    298,326.56x = 447,653.82 × 140,550.98
  4. Step 4: Simplify right side
    298,326.56x = 62,918,183,101.74
  5. Step 5: Solve for x
    x = 62,918,183,101.74/298,326.56
  6. Step 6: Final answer
    x = 210,903.73

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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.