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Finding the Fourth Proportional to 323,212.92, 486,764.25 and 286,238.04

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Solution

The fourth proportional to 323,212.92, 486,764.25 and 286,238.04 is: 431,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,212.92 : 486,764.25 = 286,238.04 : x
  2. Step 2: Convert to fraction form
    323,212.92/486,764.25 = 286,238.04/x
  3. Step 3: Cross multiply
    323,212.92x = 486,764.25 × 286,238.04
  4. Step 4: Simplify right side
    323,212.92x = 139,330,444,862.07
  5. Step 5: Solve for x
    x = 139,330,444,862.07/323,212.92
  6. Step 6: Final answer
    x = 431,079.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.