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Finding the Fourth Proportional to 1,296,964, 1,945,454.64 and 410,500

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Solution

The fourth proportional to 1,296,964, 1,945,454.64 and 410,500 is: 615,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,964 : 1,945,454.64 = 410,500 : x
  2. Step 2: Convert to fraction form
    1,296,964/1,945,454.64 = 410,500/x
  3. Step 3: Cross multiply
    1,296,964x = 1,945,454.64 × 410,500
  4. Step 4: Simplify right side
    1,296,964x = 798,609,129,720
  5. Step 5: Solve for x
    x = 798,609,129,720/1,296,964
  6. Step 6: Final answer
    x = 615,752.73

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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.