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Finding the Fourth Proportional to 393,447.66, 590,761.89 and 225,158.01

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Solution

The fourth proportional to 393,447.66, 590,761.89 and 225,158.01 is: 338,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,447.66 : 590,761.89 = 225,158.01 : x
  2. Step 2: Convert to fraction form
    393,447.66/590,761.89 = 225,158.01/x
  3. Step 3: Cross multiply
    393,447.66x = 590,761.89 × 225,158.01
  4. Step 4: Simplify right side
    393,447.66x = 133,014,771,536.24
  5. Step 5: Solve for x
    x = 133,014,771,536.24/393,447.66
  6. Step 6: Final answer
    x = 338,074.88

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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.