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Finding the Fourth Proportional to 299,191,229.94, 412,890,430.80 and 165,228,873.26

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Solution

The fourth proportional to 299,191,229.94, 412,890,430.80 and 165,228,873.26 is: 228,019,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,191,229.94 : 412,890,430.80 = 165,228,873.26 : x
  2. Step 2: Convert to fraction form
    299,191,229.94/412,890,430.80 = 165,228,873.26/x
  3. Step 3: Cross multiply
    299,191,229.94x = 412,890,430.80 × 165,228,873.26
  4. Step 4: Simplify right side
    299,191,229.94x = 68,221,420,660,176,872
  5. Step 5: Solve for x
    x = 68,221,420,660,176,872/299,191,229.94
  6. Step 6: Final answer
    x = 228,019,453.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.