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Finding the Fourth Proportional to 436,491.64, 654,735.66 and 120,947.64

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Solution

The fourth proportional to 436,491.64, 654,735.66 and 120,947.64 is: 181,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,491.64 : 654,735.66 = 120,947.64 : x
  2. Step 2: Convert to fraction form
    436,491.64/654,735.66 = 120,947.64/x
  3. Step 3: Cross multiply
    436,491.64x = 654,735.66 × 120,947.64
  4. Step 4: Simplify right side
    436,491.64x = 79,188,732,900.84
  5. Step 5: Solve for x
    x = 79,188,732,900.84/436,491.64
  6. Step 6: Final answer
    x = 181,420.96

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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.