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Finding the Fourth Proportional to 1,299,667.82, 1,949,507.19 and 853,213.64

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Solution

The fourth proportional to 1,299,667.82, 1,949,507.19 and 853,213.64 is: 1,279,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,667.82 : 1,949,507.19 = 853,213.64 : x
  2. Step 2: Convert to fraction form
    1,299,667.82/1,949,507.19 = 853,213.64/x
  3. Step 3: Cross multiply
    1,299,667.82x = 1,949,507.19 × 853,213.64
  4. Step 4: Simplify right side
    1,299,667.82x = 1,663,346,116,038.54
  5. Step 5: Solve for x
    x = 1,663,346,116,038.54/1,299,667.82
  6. Step 6: Final answer
    x = 1,279,824.04

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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.