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Finding the Fourth Proportional to 1,297,816.90, 1,946,725.35 and 766,375.90

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Solution

The fourth proportional to 1,297,816.90, 1,946,725.35 and 766,375.90 is: 1,149,563.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,816.90 : 1,946,725.35 = 766,375.90 : x
  2. Step 2: Convert to fraction form
    1,297,816.90/1,946,725.35 = 766,375.90/x
  3. Step 3: Cross multiply
    1,297,816.90x = 1,946,725.35 × 766,375.90
  4. Step 4: Simplify right side
    1,297,816.90x = 1,491,923,392,159.07
  5. Step 5: Solve for x
    x = 1,491,923,392,159.07/1,297,816.90
  6. Step 6: Final answer
    x = 1,149,563.85

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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.