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Finding the Fourth Proportional to 1,297,070.87, 1,946,786.96 and 690,368.54

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Solution

The fourth proportional to 1,297,070.87, 1,946,786.96 and 690,368.54 is: 1,036,181.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,070.87 : 1,946,786.96 = 690,368.54 : x
  2. Step 2: Convert to fraction form
    1,297,070.87/1,946,786.96 = 690,368.54/x
  3. Step 3: Cross multiply
    1,297,070.87x = 1,946,786.96 × 690,368.54
  4. Step 4: Simplify right side
    1,297,070.87x = 1,344,000,462,494.46
  5. Step 5: Solve for x
    x = 1,344,000,462,494.46/1,297,070.87
  6. Step 6: Final answer
    x = 1,036,181.21

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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.