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Finding the Fourth Proportional to 291,272.63, 437,078.78 and 122,782.64

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Solution

The fourth proportional to 291,272.63, 437,078.78 and 122,782.64 is: 184,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,272.63 : 437,078.78 = 122,782.64 : x
  2. Step 2: Convert to fraction form
    291,272.63/437,078.78 = 122,782.64/x
  3. Step 3: Cross multiply
    291,272.63x = 437,078.78 × 122,782.64
  4. Step 4: Simplify right side
    291,272.63x = 53,665,685,882.47
  5. Step 5: Solve for x
    x = 53,665,685,882.47/291,272.63
  6. Step 6: Final answer
    x = 184,245.55

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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.