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Finding the Fourth Proportional to 328,433, 492,720.96 and 100,728.74

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Solution

The fourth proportional to 328,433, 492,720.96 and 100,728.74 is: 151,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,433 : 492,720.96 = 100,728.74 : x
  2. Step 2: Convert to fraction form
    328,433/492,720.96 = 100,728.74/x
  3. Step 3: Cross multiply
    328,433x = 492,720.96 × 100,728.74
  4. Step 4: Simplify right side
    328,433x = 49,631,161,472.39
  5. Step 5: Solve for x
    x = 49,631,161,472.39/328,433
  6. Step 6: Final answer
    x = 151,115.03

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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.