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Finding the Fourth Proportional to 270,274.95, 405,461.84 and 90,343.35

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Solution

The fourth proportional to 270,274.95, 405,461.84 and 90,343.35 is: 135,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,274.95 : 405,461.84 = 90,343.35 : x
  2. Step 2: Convert to fraction form
    270,274.95/405,461.84 = 90,343.35/x
  3. Step 3: Cross multiply
    270,274.95x = 405,461.84 × 90,343.35
  4. Step 4: Simplify right side
    270,274.95x = 36,630,780,471.05
  5. Step 5: Solve for x
    x = 36,630,780,471.05/270,274.95
  6. Step 6: Final answer
    x = 135,531.54

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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.