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Finding the Fourth Proportional to 258,891,029.80, 388,485,843.90 and 97,448,828.20

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Solution

The fourth proportional to 258,891,029.80, 388,485,843.90 and 97,448,828.20 is: 146,229,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,891,029.80 : 388,485,843.90 = 97,448,828.20 : x
  2. Step 2: Convert to fraction form
    258,891,029.80/388,485,843.90 = 97,448,828.20/x
  3. Step 3: Cross multiply
    258,891,029.80x = 388,485,843.90 × 97,448,828.20
  4. Step 4: Simplify right side
    258,891,029.80x = 37,857,490,260,343,120
  5. Step 5: Solve for x
    x = 37,857,490,260,343,120/258,891,029.80
  6. Step 6: Final answer
    x = 146,229,439.81

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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.