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Finding the Fourth Proportional to 298,147.80, 446,876.10 and 120,538.20

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Solution

The fourth proportional to 298,147.80, 446,876.10 and 120,538.20 is: 180,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,147.80 : 446,876.10 = 120,538.20 : x
  2. Step 2: Convert to fraction form
    298,147.80/446,876.10 = 120,538.20/x
  3. Step 3: Cross multiply
    298,147.80x = 446,876.10 × 120,538.20
  4. Step 4: Simplify right side
    298,147.80x = 53,865,640,717.02
  5. Step 5: Solve for x
    x = 53,865,640,717.02/298,147.80
  6. Step 6: Final answer
    x = 180,667.58

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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.