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Finding the Fourth Proportional to 306,086.40, 459,194.40 and 92,836.80

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Solution

The fourth proportional to 306,086.40, 459,194.40 and 92,836.80 is: 139,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,086.40 : 459,194.40 = 92,836.80 : x
  2. Step 2: Convert to fraction form
    306,086.40/459,194.40 = 92,836.80/x
  3. Step 3: Cross multiply
    306,086.40x = 459,194.40 × 92,836.80
  4. Step 4: Simplify right side
    306,086.40x = 42,630,138,673.92
  5. Step 5: Solve for x
    x = 42,630,138,673.92/306,086.40
  6. Step 6: Final answer
    x = 139,274.85

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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.