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Finding the Fourth Proportional to 413,167,809.60, 618,408,021.60 and 321,796,699.20

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Solution

The fourth proportional to 413,167,809.60, 618,408,021.60 and 321,796,699.20 is: 481,648,510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,167,809.60 : 618,408,021.60 = 321,796,699.20 : x
  2. Step 2: Convert to fraction form
    413,167,809.60/618,408,021.60 = 321,796,699.20/x
  3. Step 3: Cross multiply
    413,167,809.60x = 618,408,021.60 × 321,796,699.20
  4. Step 4: Simplify right side
    413,167,809.60x = 199,001,660,109,682,304
  5. Step 5: Solve for x
    x = 199,001,660,109,682,304/413,167,809.60
  6. Step 6: Final answer
    x = 481,648,510.57

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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.