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Finding the Fourth Proportional to 328,107.83, 492,202.80 and 128,402.43

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Solution

The fourth proportional to 328,107.83, 492,202.80 and 128,402.43 is: 192,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,107.83 : 492,202.80 = 128,402.43 : x
  2. Step 2: Convert to fraction form
    328,107.83/492,202.80 = 128,402.43/x
  3. Step 3: Cross multiply
    328,107.83x = 492,202.80 × 128,402.43
  4. Step 4: Simplify right side
    328,107.83x = 63,200,035,572.80
  5. Step 5: Solve for x
    x = 63,200,035,572.80/328,107.83
  6. Step 6: Final answer
    x = 192,619.71

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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.