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Finding the Fourth Proportional to 309,488.67, 427,096.67 and 201,995.19

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Solution

The fourth proportional to 309,488.67, 427,096.67 and 201,995.19 is: 278,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,488.67 : 427,096.67 = 201,995.19 : x
  2. Step 2: Convert to fraction form
    309,488.67/427,096.67 = 201,995.19/x
  3. Step 3: Cross multiply
    309,488.67x = 427,096.67 × 201,995.19
  4. Step 4: Simplify right side
    309,488.67x = 86,271,471,995.04
  5. Step 5: Solve for x
    x = 86,271,471,995.04/309,488.67
  6. Step 6: Final answer
    x = 278,754.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.