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Finding the Fourth Proportional to 329,428.80, 493,997.40 and 151,844.40

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Solution

The fourth proportional to 329,428.80, 493,997.40 and 151,844.40 is: 227,699.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,428.80 : 493,997.40 = 151,844.40 : x
  2. Step 2: Convert to fraction form
    329,428.80/493,997.40 = 151,844.40/x
  3. Step 3: Cross multiply
    329,428.80x = 493,997.40 × 151,844.40
  4. Step 4: Simplify right side
    329,428.80x = 75,010,738,804.56
  5. Step 5: Solve for x
    x = 75,010,738,804.56/329,428.80
  6. Step 6: Final answer
    x = 227,699.40

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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.