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Finding the Fourth Proportional to 872,891,375.22, 1,309,509,547.92 and 320,198,935.77

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Solution

The fourth proportional to 872,891,375.22, 1,309,509,547.92 and 320,198,935.77 is: 480,361,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,891,375.22 : 1,309,509,547.92 = 320,198,935.77 : x
  2. Step 2: Convert to fraction form
    872,891,375.22/1,309,509,547.92 = 320,198,935.77/x
  3. Step 3: Cross multiply
    872,891,375.22x = 1,309,509,547.92 × 320,198,935.77
  4. Step 4: Simplify right side
    872,891,375.22x = 419,303,563,624,637,824
  5. Step 5: Solve for x
    x = 419,303,563,624,637,824/872,891,375.22
  6. Step 6: Final answer
    x = 480,361,675.61

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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.