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Finding the Fourth Proportional to 279,308.14, 419,027.82 and 92,319.64

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Solution

The fourth proportional to 279,308.14, 419,027.82 and 92,319.64 is: 138,501.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,308.14 : 419,027.82 = 92,319.64 : x
  2. Step 2: Convert to fraction form
    279,308.14/419,027.82 = 92,319.64/x
  3. Step 3: Cross multiply
    279,308.14x = 419,027.82 × 92,319.64
  4. Step 4: Simplify right side
    279,308.14x = 38,684,497,492.38
  5. Step 5: Solve for x
    x = 38,684,497,492.38/279,308.14
  6. Step 6: Final answer
    x = 138,501.15

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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.