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Finding the Fourth Proportional to 298,509.40, 447,764.10 and 281,402.20

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Solution

The fourth proportional to 298,509.40, 447,764.10 and 281,402.20 is: 422,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,509.40 : 447,764.10 = 281,402.20 : x
  2. Step 2: Convert to fraction form
    298,509.40/447,764.10 = 281,402.20/x
  3. Step 3: Cross multiply
    298,509.40x = 447,764.10 × 281,402.20
  4. Step 4: Simplify right side
    298,509.40x = 126,001,802,821.02
  5. Step 5: Solve for x
    x = 126,001,802,821.02/298,509.40
  6. Step 6: Final answer
    x = 422,103.30

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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.