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Finding the Fourth Proportional to 1,238,998,469.76, 1,709,765,513.28 and 674,471,600.64

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Solution

The fourth proportional to 1,238,998,469.76, 1,709,765,513.28 and 674,471,600.64 is: 930,742,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,998,469.76 : 1,709,765,513.28 = 674,471,600.64 : x
  2. Step 2: Convert to fraction form
    1,238,998,469.76/1,709,765,513.28 = 674,471,600.64/x
  3. Step 3: Cross multiply
    1,238,998,469.76x = 1,709,765,513.28 × 674,471,600.64
  4. Step 4: Simplify right side
    1,238,998,469.76x = 1,153,188,282,461,032,704
  5. Step 5: Solve for x
    x = 1,153,188,282,461,032,704/1,238,998,469.76
  6. Step 6: Final answer
    x = 930,742,297.59

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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.