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Finding the Fourth Proportional to 298,347.23, 447,522.06 and 120,857.60

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Solution

The fourth proportional to 298,347.23, 447,522.06 and 120,857.60 is: 181,286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,347.23 : 447,522.06 = 120,857.60 : x
  2. Step 2: Convert to fraction form
    298,347.23/447,522.06 = 120,857.60/x
  3. Step 3: Cross multiply
    298,347.23x = 447,522.06 × 120,857.60
  4. Step 4: Simplify right side
    298,347.23x = 54,086,442,118.66
  5. Step 5: Solve for x
    x = 54,086,442,118.66/298,347.23
  6. Step 6: Final answer
    x = 181,286.89

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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.