Home / 378,116,632,823.16-521,813,399,151.24-206,834,644,633.26

Finding the Fourth Proportional to 378,116,632,823.16, 521,813,399,151.24 and 206,834,644,633.26

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Solution

The fourth proportional to 378,116,632,823.16, 521,813,399,151.24 and 206,834,644,633.26 is: 285,438,617,636.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,116,632,823.16 : 521,813,399,151.24 = 206,834,644,633.26 : x
  2. Step 2: Convert to fraction form
    378,116,632,823.16/521,813,399,151.24 = 206,834,644,633.26/x
  3. Step 3: Cross multiply
    378,116,632,823.16x = 521,813,399,151.24 × 206,834,644,633.26
  4. Step 4: Simplify right side
    378,116,632,823.16x = 107,929,088,978,320,183,263,232
  5. Step 5: Solve for x
    x = 107,929,088,978,320,183,263,232/378,116,632,823.16
  6. Step 6: Final answer
    x = 285,438,617,636.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.