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Finding the Fourth Proportional to 306,007.80, 457,974.90 and 306,007.80

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Solution

The fourth proportional to 306,007.80, 457,974.90 and 306,007.80 is: 457,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,007.80 : 457,974.90 = 306,007.80 : x
  2. Step 2: Convert to fraction form
    306,007.80/457,974.90 = 306,007.80/x
  3. Step 3: Cross multiply
    306,007.80x = 457,974.90 × 306,007.80
  4. Step 4: Simplify right side
    306,007.80x = 140,143,891,604.22
  5. Step 5: Solve for x
    x = 140,143,891,604.22/306,007.80
  6. Step 6: Final answer
    x = 457,974.90

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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.