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Finding the Fourth Proportional to 646,679.40, 969,596.64 and 309,709.08

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Solution

The fourth proportional to 646,679.40, 969,596.64 and 309,709.08 is: 464,361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,679.40 : 969,596.64 = 309,709.08 : x
  2. Step 2: Convert to fraction form
    646,679.40/969,596.64 = 309,709.08/x
  3. Step 3: Cross multiply
    646,679.40x = 969,596.64 × 309,709.08
  4. Step 4: Simplify right side
    646,679.40x = 300,292,883,345.49
  5. Step 5: Solve for x
    x = 300,292,883,345.49/646,679.40
  6. Step 6: Final answer
    x = 464,361.29

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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.