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Finding the Fourth Proportional to 279,957,600.90, 419,936,401.35 and 279,957,600.90

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Solution

The fourth proportional to 279,957,600.90, 419,936,401.35 and 279,957,600.90 is: 419,936,401.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,957,600.90 : 419,936,401.35 = 279,957,600.90 : x
  2. Step 2: Convert to fraction form
    279,957,600.90/419,936,401.35 = 279,957,600.90/x
  3. Step 3: Cross multiply
    279,957,600.90x = 419,936,401.35 × 279,957,600.90
  4. Step 4: Simplify right side
    279,957,600.90x = 117,564,387,452,525,520
  5. Step 5: Solve for x
    x = 117,564,387,452,525,520/279,957,600.90
  6. Step 6: Final answer
    x = 419,936,401.35

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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.