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Finding the Fourth Proportional to 253,673,107.20, 380,509,660.80 and 193,206,931.20

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Solution

The fourth proportional to 253,673,107.20, 380,509,660.80 and 193,206,931.20 is: 289,810,396.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,673,107.20 : 380,509,660.80 = 193,206,931.20 : x
  2. Step 2: Convert to fraction form
    253,673,107.20/380,509,660.80 = 193,206,931.20/x
  3. Step 3: Cross multiply
    253,673,107.20x = 380,509,660.80 × 193,206,931.20
  4. Step 4: Simplify right side
    253,673,107.20x = 73,517,103,855,120,928
  5. Step 5: Solve for x
    x = 73,517,103,855,120,928/253,673,107.20
  6. Step 6: Final answer
    x = 289,810,396.80

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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.