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Finding the Fourth Proportional to 279,310.16, 419,030.84 and 92,321.64

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Solution

The fourth proportional to 279,310.16, 419,030.84 and 92,321.64 is: 138,504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,310.16 : 419,030.84 = 92,321.64 : x
  2. Step 2: Convert to fraction form
    279,310.16/419,030.84 = 92,321.64/x
  3. Step 3: Cross multiply
    279,310.16x = 419,030.84 × 92,321.64
  4. Step 4: Simplify right side
    279,310.16x = 38,685,614,359.38
  5. Step 5: Solve for x
    x = 38,685,614,359.38/279,310.16
  6. Step 6: Final answer
    x = 138,504.14

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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.