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Finding the Fourth Proportional to 298,346.98, 447,521.69 and 120,857.35

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Solution

The fourth proportional to 298,346.98, 447,521.69 and 120,857.35 is: 181,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,346.98 : 447,521.69 = 120,857.35 : x
  2. Step 2: Convert to fraction form
    298,346.98/447,521.69 = 120,857.35/x
  3. Step 3: Cross multiply
    298,346.98x = 447,521.69 × 120,857.35
  4. Step 4: Simplify right side
    298,346.98x = 54,086,283,797.83
  5. Step 5: Solve for x
    x = 54,086,283,797.83/298,346.98
  6. Step 6: Final answer
    x = 181,286.51

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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.