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Finding the Fourth Proportional to 209,504.96, 314,260.80 and 198,871.28

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Solution

The fourth proportional to 209,504.96, 314,260.80 and 198,871.28 is: 298,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,504.96 : 314,260.80 = 198,871.28 : x
  2. Step 2: Convert to fraction form
    209,504.96/314,260.80 = 198,871.28/x
  3. Step 3: Cross multiply
    209,504.96x = 314,260.80 × 198,871.28
  4. Step 4: Simplify right side
    209,504.96x = 62,497,447,549.82
  5. Step 5: Solve for x
    x = 62,497,447,549.82/209,504.96
  6. Step 6: Final answer
    x = 298,310.11

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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.