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Finding the Fourth Proportional to 209,328.40, 313,992.60 and 202,111.30

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Solution

The fourth proportional to 209,328.40, 313,992.60 and 202,111.30 is: 303,166.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,328.40 : 313,992.60 = 202,111.30 : x
  2. Step 2: Convert to fraction form
    209,328.40/313,992.60 = 202,111.30/x
  3. Step 3: Cross multiply
    209,328.40x = 313,992.60 × 202,111.30
  4. Step 4: Simplify right side
    209,328.40x = 63,461,452,576.38
  5. Step 5: Solve for x
    x = 63,461,452,576.38/209,328.40
  6. Step 6: Final answer
    x = 303,166.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.