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Finding the Fourth Proportional to 378,902,783.40, 568,354,175.10 and 378,902,783.40

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Solution

The fourth proportional to 378,902,783.40, 568,354,175.10 and 378,902,783.40 is: 568,354,175.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,902,783.40 : 568,354,175.10 = 378,902,783.40 : x
  2. Step 2: Convert to fraction form
    378,902,783.40/568,354,175.10 = 378,902,783.40/x
  3. Step 3: Cross multiply
    378,902,783.40x = 568,354,175.10 × 378,902,783.40
  4. Step 4: Simplify right side
    378,902,783.40x = 215,350,978,902,400,960
  5. Step 5: Solve for x
    x = 215,350,978,902,400,960/378,902,783.40
  6. Step 6: Final answer
    x = 568,354,175.10

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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.