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Finding the Fourth Proportional to 276,486.48, 414,737.64 and 76,821.48

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Solution

The fourth proportional to 276,486.48, 414,737.64 and 76,821.48 is: 115,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,486.48 : 414,737.64 = 76,821.48 : x
  2. Step 2: Convert to fraction form
    276,486.48/414,737.64 = 76,821.48/x
  3. Step 3: Cross multiply
    276,486.48x = 414,737.64 × 76,821.48
  4. Step 4: Simplify right side
    276,486.48x = 31,860,759,316.51
  5. Step 5: Solve for x
    x = 31,860,759,316.51/276,486.48
  6. Step 6: Final answer
    x = 115,234.42

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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.