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Finding the Fourth Proportional to 499,947,719.39, 749,648,198.60 and 396,978,368.43

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Solution

The fourth proportional to 499,947,719.39, 749,648,198.60 and 396,978,368.43 is: 595,250,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,947,719.39 : 749,648,198.60 = 396,978,368.43 : x
  2. Step 2: Convert to fraction form
    499,947,719.39/749,648,198.60 = 396,978,368.43/x
  3. Step 3: Cross multiply
    499,947,719.39x = 749,648,198.60 × 396,978,368.43
  4. Step 4: Simplify right side
    499,947,719.39x = 297,594,118,776,716,608
  5. Step 5: Solve for x
    x = 297,594,118,776,716,608/499,947,719.39
  6. Step 6: Final answer
    x = 595,250,477.67

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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.