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Finding the Fourth Proportional to 291,231.62, 436,867.22 and 99,027.77

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Solution

The fourth proportional to 291,231.62, 436,867.22 and 99,027.77 is: 148,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,231.62 : 436,867.22 = 99,027.77 : x
  2. Step 2: Convert to fraction form
    291,231.62/436,867.22 = 99,027.77/x
  3. Step 3: Cross multiply
    291,231.62x = 436,867.22 × 99,027.77
  4. Step 4: Simplify right side
    291,231.62x = 43,261,984,645.93
  5. Step 5: Solve for x
    x = 43,261,984,645.93/291,231.62
  6. Step 6: Final answer
    x = 148,548.38

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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.