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Finding the Fourth Proportional to 279,188.41, 419,024.40 and 146,161.72

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Solution

The fourth proportional to 279,188.41, 419,024.40 and 146,161.72 is: 219,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,188.41 : 419,024.40 = 146,161.72 : x
  2. Step 2: Convert to fraction form
    279,188.41/419,024.40 = 146,161.72/x
  3. Step 3: Cross multiply
    279,188.41x = 419,024.40 × 146,161.72
  4. Step 4: Simplify right side
    279,188.41x = 61,245,327,025.97
  5. Step 5: Solve for x
    x = 61,245,327,025.97/279,188.41
  6. Step 6: Final answer
    x = 219,369.16

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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.