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Finding the Fourth Proportional to 298,746.30, 412,136.55 and 201,919.26

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Solution

The fourth proportional to 298,746.30, 412,136.55 and 201,919.26 is: 278,558.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,746.30 : 412,136.55 = 201,919.26 : x
  2. Step 2: Convert to fraction form
    298,746.30/412,136.55 = 201,919.26/x
  3. Step 3: Cross multiply
    298,746.30x = 412,136.55 × 201,919.26
  4. Step 4: Simplify right side
    298,746.30x = 83,218,307,194.95
  5. Step 5: Solve for x
    x = 83,218,307,194.95/298,746.30
  6. Step 6: Final answer
    x = 278,558.45

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