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Finding the Fourth Proportional to 393,015,148.80, 588,388,982.40 and 393,015,148.80

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Solution

The fourth proportional to 393,015,148.80, 588,388,982.40 and 393,015,148.80 is: 588,388,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,015,148.80 : 588,388,982.40 = 393,015,148.80 : x
  2. Step 2: Convert to fraction form
    393,015,148.80/588,388,982.40 = 393,015,148.80/x
  3. Step 3: Cross multiply
    393,015,148.80x = 588,388,982.40 × 393,015,148.80
  4. Step 4: Simplify right side
    393,015,148.80x = 231,245,783,470,216,576
  5. Step 5: Solve for x
    x = 231,245,783,470,216,576/393,015,148.80
  6. Step 6: Final answer
    x = 588,388,982.40

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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.