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Finding the Fourth Proportional to 431,855.32, 647,709.54 and 116,241.88

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Solution

The fourth proportional to 431,855.32, 647,709.54 and 116,241.88 is: 174,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,855.32 : 647,709.54 = 116,241.88 : x
  2. Step 2: Convert to fraction form
    431,855.32/647,709.54 = 116,241.88/x
  3. Step 3: Cross multiply
    431,855.32x = 647,709.54 × 116,241.88
  4. Step 4: Simplify right side
    431,855.32x = 75,290,974,623.54
  5. Step 5: Solve for x
    x = 75,290,974,623.54/431,855.32
  6. Step 6: Final answer
    x = 174,343.05

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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.