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Finding the Fourth Proportional to 318,628,276.80, 477,942,415.20 and 318,628,276.80

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Solution

The fourth proportional to 318,628,276.80, 477,942,415.20 and 318,628,276.80 is: 477,942,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,628,276.80 : 477,942,415.20 = 318,628,276.80 : x
  2. Step 2: Convert to fraction form
    318,628,276.80/477,942,415.20 = 318,628,276.80/x
  3. Step 3: Cross multiply
    318,628,276.80x = 477,942,415.20 × 318,628,276.80
  4. Step 4: Simplify right side
    318,628,276.80x = 152,285,968,164,806,144
  5. Step 5: Solve for x
    x = 152,285,968,164,806,144/318,628,276.80
  6. Step 6: Final answer
    x = 477,942,415.20

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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.