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Finding the Fourth Proportional to 279,936,397.80, 419,904,596.70 and 259,529,063.40

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Solution

The fourth proportional to 279,936,397.80, 419,904,596.70 and 259,529,063.40 is: 389,293,595.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,936,397.80 : 419,904,596.70 = 259,529,063.40 : x
  2. Step 2: Convert to fraction form
    279,936,397.80/419,904,596.70 = 259,529,063.40/x
  3. Step 3: Cross multiply
    279,936,397.80x = 419,904,596.70 × 259,529,063.40
  4. Step 4: Simplify right side
    279,936,397.80x = 108,977,446,698,905,728
  5. Step 5: Solve for x
    x = 108,977,446,698,905,728/279,936,397.80
  6. Step 6: Final answer
    x = 389,293,595.10

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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.