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Finding the Fourth Proportional to 654,964,013.80, 979,461,978.54 and 489,084,005.80

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Solution

The fourth proportional to 654,964,013.80, 979,461,978.54 and 489,084,005.80 is: 731,397,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,964,013.80 : 979,461,978.54 = 489,084,005.80 : x
  2. Step 2: Convert to fraction form
    654,964,013.80/979,461,978.54 = 489,084,005.80/x
  3. Step 3: Cross multiply
    654,964,013.80x = 979,461,978.54 × 489,084,005.80
  4. Step 4: Simplify right side
    654,964,013.80x = 479,039,187,993,136,832
  5. Step 5: Solve for x
    x = 479,039,187,993,136,832/654,964,013.80
  6. Step 6: Final answer
    x = 731,397,722.47

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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.