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Finding the Fourth Proportional to 345,450.44, 517,824.61 and 143,156.61

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Solution

The fourth proportional to 345,450.44, 517,824.61 and 143,156.61 is: 214,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,450.44 : 517,824.61 = 143,156.61 : x
  2. Step 2: Convert to fraction form
    345,450.44/517,824.61 = 143,156.61/x
  3. Step 3: Cross multiply
    345,450.44x = 517,824.61 × 143,156.61
  4. Step 4: Simplify right side
    345,450.44x = 74,130,013,153.05
  5. Step 5: Solve for x
    x = 74,130,013,153.05/345,450.44
  6. Step 6: Final answer
    x = 214,589.43

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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.