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Finding the Fourth Proportional to 292,826, 404,099.90 and 158,690

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Solution

The fourth proportional to 292,826, 404,099.90 and 158,690 is: 218,992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,826 : 404,099.90 = 158,690 : x
  2. Step 2: Convert to fraction form
    292,826/404,099.90 = 158,690/x
  3. Step 3: Cross multiply
    292,826x = 404,099.90 × 158,690
  4. Step 4: Simplify right side
    292,826x = 64,126,613,131
  5. Step 5: Solve for x
    x = 64,126,613,131/292,826
  6. Step 6: Final answer
    x = 218,992.21

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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.