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Finding the Fourth Proportional to 291,180.80, 436,511.36 and 113,646.56

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Solution

The fourth proportional to 291,180.80, 436,511.36 and 113,646.56 is: 170,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,180.80 : 436,511.36 = 113,646.56 : x
  2. Step 2: Convert to fraction form
    291,180.80/436,511.36 = 113,646.56/x
  3. Step 3: Cross multiply
    291,180.80x = 436,511.36 × 113,646.56
  4. Step 4: Simplify right side
    291,180.80x = 49,608,014,464.92
  5. Step 5: Solve for x
    x = 49,608,014,464.92/291,180.80
  6. Step 6: Final answer
    x = 170,368.43

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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.