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Finding the Fourth Proportional to 279,861.76, 419,955.26 and 117,743.93

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Solution

The fourth proportional to 279,861.76, 419,955.26 and 117,743.93 is: 176,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,861.76 : 419,955.26 = 117,743.93 : x
  2. Step 2: Convert to fraction form
    279,861.76/419,955.26 = 117,743.93/x
  3. Step 3: Cross multiply
    279,861.76x = 419,955.26 × 117,743.93
  4. Step 4: Simplify right side
    279,861.76x = 49,447,182,147.85
  5. Step 5: Solve for x
    x = 49,447,182,147.85/279,861.76
  6. Step 6: Final answer
    x = 176,684.31

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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.