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Finding the Fourth Proportional to 201,495, 276,294.78 and 196,246.20

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Solution

The fourth proportional to 201,495, 276,294.78 and 196,246.20 is: 269,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,495 : 276,294.78 = 196,246.20 : x
  2. Step 2: Convert to fraction form
    201,495/276,294.78 = 196,246.20/x
  3. Step 3: Cross multiply
    201,495x = 276,294.78 × 196,246.20
  4. Step 4: Simplify right side
    201,495x = 54,221,800,654.84
  5. Step 5: Solve for x
    x = 54,221,800,654.84/201,495
  6. Step 6: Final answer
    x = 269,097.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.