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Finding the Fourth Proportional to 279,858.54, 419,710.82 and 77,406.13

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Solution

The fourth proportional to 279,858.54, 419,710.82 and 77,406.13 is: 116,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,858.54 : 419,710.82 = 77,406.13 : x
  2. Step 2: Convert to fraction form
    279,858.54/419,710.82 = 77,406.13/x
  3. Step 3: Cross multiply
    279,858.54x = 419,710.82 × 77,406.13
  4. Step 4: Simplify right side
    279,858.54x = 32,488,190,432.93
  5. Step 5: Solve for x
    x = 32,488,190,432.93/279,858.54
  6. Step 6: Final answer
    x = 116,087.90

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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.