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Finding the Fourth Proportional to 413,413,802.80, 620,120,704.20 and 290,969,796.40

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Solution

The fourth proportional to 413,413,802.80, 620,120,704.20 and 290,969,796.40 is: 436,454,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,413,802.80 : 620,120,704.20 = 290,969,796.40 : x
  2. Step 2: Convert to fraction form
    413,413,802.80/620,120,704.20 = 290,969,796.40/x
  3. Step 3: Cross multiply
    413,413,802.80x = 620,120,704.20 × 290,969,796.40
  4. Step 4: Simplify right side
    413,413,802.80x = 180,436,395,044,498,624
  5. Step 5: Solve for x
    x = 180,436,395,044,498,624/413,413,802.80
  6. Step 6: Final answer
    x = 436,454,694.60

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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.