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Finding the Fourth Proportional to 313,337.40, 469,435.86 and 279,745.08

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Solution

The fourth proportional to 313,337.40, 469,435.86 and 279,745.08 is: 419,108.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,337.40 : 469,435.86 = 279,745.08 : x
  2. Step 2: Convert to fraction form
    313,337.40/469,435.86 = 279,745.08/x
  3. Step 3: Cross multiply
    313,337.40x = 469,435.86 × 279,745.08
  4. Step 4: Simplify right side
    313,337.40x = 131,322,372,210.57
  5. Step 5: Solve for x
    x = 131,322,372,210.57/313,337.40
  6. Step 6: Final answer
    x = 419,108.51

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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.