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Finding the Fourth Proportional to 291,505.23, 437,257.85 and 166,758.75

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Solution

The fourth proportional to 291,505.23, 437,257.85 and 166,758.75 is: 250,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,505.23 : 437,257.85 = 166,758.75 : x
  2. Step 2: Convert to fraction form
    291,505.23/437,257.85 = 166,758.75/x
  3. Step 3: Cross multiply
    291,505.23x = 437,257.85 × 166,758.75
  4. Step 4: Simplify right side
    291,505.23x = 72,916,571,659.89
  5. Step 5: Solve for x
    x = 72,916,571,659.89/291,505.23
  6. Step 6: Final answer
    x = 250,138.13

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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.