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Finding the Fourth Proportional to 298,971,903.20, 448,457,854.80 and 274,785,432.80

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Solution

The fourth proportional to 298,971,903.20, 448,457,854.80 and 274,785,432.80 is: 412,178,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,971,903.20 : 448,457,854.80 = 274,785,432.80 : x
  2. Step 2: Convert to fraction form
    298,971,903.20/448,457,854.80 = 274,785,432.80/x
  3. Step 3: Cross multiply
    298,971,903.20x = 448,457,854.80 × 274,785,432.80
  4. Step 4: Simplify right side
    298,971,903.20x = 123,229,685,723,777,568
  5. Step 5: Solve for x
    x = 123,229,685,723,777,568/298,971,903.20
  6. Step 6: Final answer
    x = 412,178,149.20

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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.