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Finding the Fourth Proportional to 505,866.42, 698,087.23 and 276,418.67

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Solution

The fourth proportional to 505,866.42, 698,087.23 and 276,418.67 is: 381,453.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,866.42 : 698,087.23 = 276,418.67 : x
  2. Step 2: Convert to fraction form
    505,866.42/698,087.23 = 276,418.67/x
  3. Step 3: Cross multiply
    505,866.42x = 698,087.23 × 276,418.67
  4. Step 4: Simplify right side
    505,866.42x = 192,964,339,479.10
  5. Step 5: Solve for x
    x = 192,964,339,479.10/505,866.42
  6. Step 6: Final answer
    x = 381,453.15

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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.