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Finding the Fourth Proportional to 328,529.34, 492,847.26 and 128,741.40

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Solution

The fourth proportional to 328,529.34, 492,847.26 and 128,741.40 is: 193,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,529.34 : 492,847.26 = 128,741.40 : x
  2. Step 2: Convert to fraction form
    328,529.34/492,847.26 = 128,741.40/x
  3. Step 3: Cross multiply
    328,529.34x = 492,847.26 × 128,741.40
  4. Step 4: Simplify right side
    328,529.34x = 63,449,846,238.56
  5. Step 5: Solve for x
    x = 63,449,846,238.56/328,529.34
  6. Step 6: Final answer
    x = 193,132.97

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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.