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Finding the Fourth Proportional to 298,347.74, 447,522.81 and 120,858.11

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Solution

The fourth proportional to 298,347.74, 447,522.81 and 120,858.11 is: 181,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,347.74 : 447,522.81 = 120,858.11 : x
  2. Step 2: Convert to fraction form
    298,347.74/447,522.81 = 120,858.11/x
  3. Step 3: Cross multiply
    298,347.74x = 447,522.81 × 120,858.11
  4. Step 4: Simplify right side
    298,347.74x = 54,086,758,760.88
  5. Step 5: Solve for x
    x = 54,086,758,760.88/298,347.74
  6. Step 6: Final answer
    x = 181,287.65

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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.