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Finding the Fourth Proportional to 298,430.80, 447,300.60 and 120,821.20

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Solution

The fourth proportional to 298,430.80, 447,300.60 and 120,821.20 is: 181,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,430.80 : 447,300.60 = 120,821.20 : x
  2. Step 2: Convert to fraction form
    298,430.80/447,300.60 = 120,821.20/x
  3. Step 3: Cross multiply
    298,430.80x = 447,300.60 × 120,821.20
  4. Step 4: Simplify right side
    298,430.80x = 54,043,395,252.72
  5. Step 5: Solve for x
    x = 54,043,395,252.72/298,430.80
  6. Step 6: Final answer
    x = 181,091.88

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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.