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Finding the Fourth Proportional to 298,431.80, 447,302.10 and 120,822.20

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Solution

The fourth proportional to 298,431.80, 447,302.10 and 120,822.20 is: 181,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,431.80 : 447,302.10 = 120,822.20 : x
  2. Step 2: Convert to fraction form
    298,431.80/447,302.10 = 120,822.20/x
  3. Step 3: Cross multiply
    298,431.80x = 447,302.10 × 120,822.20
  4. Step 4: Simplify right side
    298,431.80x = 54,044,023,786.62
  5. Step 5: Solve for x
    x = 54,044,023,786.62/298,431.80
  6. Step 6: Final answer
    x = 181,093.38

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1.5x scale

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.