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Finding the Fourth Proportional to 445,412.94, 667,980.89 and 145,826.74

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Solution

The fourth proportional to 445,412.94, 667,980.89 and 145,826.74 is: 218,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,412.94 : 667,980.89 = 145,826.74 : x
  2. Step 2: Convert to fraction form
    445,412.94/667,980.89 = 145,826.74/x
  3. Step 3: Cross multiply
    445,412.94x = 667,980.89 × 145,826.74
  4. Step 4: Simplify right side
    445,412.94x = 97,409,475,571.00
  5. Step 5: Solve for x
    x = 97,409,475,571.00/445,412.94
  6. Step 6: Final answer
    x = 218,694.76

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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.