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Finding the Fourth Proportional to 328,447.80, 492,890.40 and 150,863.40

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Solution

The fourth proportional to 328,447.80, 492,890.40 and 150,863.40 is: 226,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,447.80 : 492,890.40 = 150,863.40 : x
  2. Step 2: Convert to fraction form
    328,447.80/492,890.40 = 150,863.40/x
  3. Step 3: Cross multiply
    328,447.80x = 492,890.40 × 150,863.40
  4. Step 4: Simplify right side
    328,447.80x = 74,359,121,571.36
  5. Step 5: Solve for x
    x = 74,359,121,571.36/328,447.80
  6. Step 6: Final answer
    x = 226,395.55

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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.