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Finding the Fourth Proportional to 279,647,709.12, 419,531,490.72 and 97,900,816.32

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Solution

The fourth proportional to 279,647,709.12, 419,531,490.72 and 97,900,816.32 is: 146,872,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,647,709.12 : 419,531,490.72 = 97,900,816.32 : x
  2. Step 2: Convert to fraction form
    279,647,709.12/419,531,490.72 = 97,900,816.32/x
  3. Step 3: Cross multiply
    279,647,709.12x = 419,531,490.72 × 97,900,816.32
  4. Step 4: Simplify right side
    279,647,709.12x = 41,072,475,413,434,504
  5. Step 5: Solve for x
    x = 41,072,475,413,434,504/279,647,709.12
  6. Step 6: Final answer
    x = 146,872,204.11

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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.