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Finding the Fourth Proportional to 405,446,742, 559,978,398.36 and 274,839,801.84

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Solution

The fourth proportional to 405,446,742, 559,978,398.36 and 274,839,801.84 is: 379,592,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,446,742 : 559,978,398.36 = 274,839,801.84 : x
  2. Step 2: Convert to fraction form
    405,446,742/559,978,398.36 = 274,839,801.84/x
  3. Step 3: Cross multiply
    405,446,742x = 559,978,398.36 × 274,839,801.84
  4. Step 4: Simplify right side
    405,446,742x = 153,904,352,039,942,976
  5. Step 5: Solve for x
    x = 153,904,352,039,942,976/405,446,742
  6. Step 6: Final answer
    x = 379,592,030.46

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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.