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Finding the Fourth Proportional to 275,346.77, 412,853.79 and 123,516.05

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Solution

The fourth proportional to 275,346.77, 412,853.79 and 123,516.05 is: 185,199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,346.77 : 412,853.79 = 123,516.05 : x
  2. Step 2: Convert to fraction form
    275,346.77/412,853.79 = 123,516.05/x
  3. Step 3: Cross multiply
    275,346.77x = 412,853.79 × 123,516.05
  4. Step 4: Simplify right side
    275,346.77x = 50,994,069,368.33
  5. Step 5: Solve for x
    x = 50,994,069,368.33/275,346.77
  6. Step 6: Final answer
    x = 185,199.45

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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.