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Finding the Fourth Proportional to 509,984,696.40, 764,977,044.60 and 399,019,815.60

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Solution

The fourth proportional to 509,984,696.40, 764,977,044.60 and 399,019,815.60 is: 598,529,723.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,984,696.40 : 764,977,044.60 = 399,019,815.60 : x
  2. Step 2: Convert to fraction form
    509,984,696.40/764,977,044.60 = 399,019,815.60/x
  3. Step 3: Cross multiply
    509,984,696.40x = 764,977,044.60 × 399,019,815.60
  4. Step 4: Simplify right side
    509,984,696.40x = 305,240,999,274,524,992
  5. Step 5: Solve for x
    x = 305,240,999,274,524,992/509,984,696.40
  6. Step 6: Final answer
    x = 598,529,723.40

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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.