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Finding the Fourth Proportional to 279,445.86, 419,134.14 and 79,783.74

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Solution

The fourth proportional to 279,445.86, 419,134.14 and 79,783.74 is: 119,665.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,445.86 : 419,134.14 = 79,783.74 : x
  2. Step 2: Convert to fraction form
    279,445.86/419,134.14 = 79,783.74/x
  3. Step 3: Cross multiply
    279,445.86x = 419,134.14 × 79,783.74
  4. Step 4: Simplify right side
    279,445.86x = 33,440,089,250.88
  5. Step 5: Solve for x
    x = 33,440,089,250.88/279,445.86
  6. Step 6: Final answer
    x = 119,665.72

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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.