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Finding the Fourth Proportional to 199,295.40, 298,943.10 and 115,314.60

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Solution

The fourth proportional to 199,295.40, 298,943.10 and 115,314.60 is: 172,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,295.40 : 298,943.10 = 115,314.60 : x
  2. Step 2: Convert to fraction form
    199,295.40/298,943.10 = 115,314.60/x
  3. Step 3: Cross multiply
    199,295.40x = 298,943.10 × 115,314.60
  4. Step 4: Simplify right side
    199,295.40x = 34,472,503,999.26
  5. Step 5: Solve for x
    x = 34,472,503,999.26/199,295.40
  6. Step 6: Final answer
    x = 172,971.90

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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.