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Finding the Fourth Proportional to 398,174,704.80, 597,262,057.20 and 330,150,256.80

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Solution

The fourth proportional to 398,174,704.80, 597,262,057.20 and 330,150,256.80 is: 495,225,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,174,704.80 : 597,262,057.20 = 330,150,256.80 : x
  2. Step 2: Convert to fraction form
    398,174,704.80/597,262,057.20 = 330,150,256.80/x
  3. Step 3: Cross multiply
    398,174,704.80x = 597,262,057.20 × 330,150,256.80
  4. Step 4: Simplify right side
    398,174,704.80x = 197,186,221,561,476,320
  5. Step 5: Solve for x
    x = 197,186,221,561,476,320/398,174,704.80
  6. Step 6: Final answer
    x = 495,225,385.20

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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.