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Finding the Fourth Proportional to 200,645.70, 300,968.55 and 178,872.90

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Solution

The fourth proportional to 200,645.70, 300,968.55 and 178,872.90 is: 268,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,645.70 : 300,968.55 = 178,872.90 : x
  2. Step 2: Convert to fraction form
    200,645.70/300,968.55 = 178,872.90/x
  3. Step 3: Cross multiply
    200,645.70x = 300,968.55 × 178,872.90
  4. Step 4: Simplify right side
    200,645.70x = 53,835,117,347.30
  5. Step 5: Solve for x
    x = 53,835,117,347.30/200,645.70
  6. Step 6: Final answer
    x = 268,309.35

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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.