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Finding the Fourth Proportional to 767,998.54, 1,059,863.43 and 419,158

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Solution

The fourth proportional to 767,998.54, 1,059,863.43 and 419,158 is: 578,451.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,998.54 : 1,059,863.43 = 419,158 : x
  2. Step 2: Convert to fraction form
    767,998.54/1,059,863.43 = 419,158/x
  3. Step 3: Cross multiply
    767,998.54x = 1,059,863.43 × 419,158
  4. Step 4: Simplify right side
    767,998.54x = 444,250,235,591.94
  5. Step 5: Solve for x
    x = 444,250,235,591.94/767,998.54
  6. Step 6: Final answer
    x = 578,451.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.