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Finding the Fourth Proportional to 1,296,900, 1,945,358.64 and 410,436

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Solution

The fourth proportional to 1,296,900, 1,945,358.64 and 410,436 is: 615,656.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,900 : 1,945,358.64 = 410,436 : x
  2. Step 2: Convert to fraction form
    1,296,900/1,945,358.64 = 410,436/x
  3. Step 3: Cross multiply
    1,296,900x = 1,945,358.64 × 410,436
  4. Step 4: Simplify right side
    1,296,900x = 798,445,218,767.04
  5. Step 5: Solve for x
    x = 798,445,218,767.04/1,296,900
  6. Step 6: Final answer
    x = 615,656.73

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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.