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Finding the Fourth Proportional to 393,434.87, 590,742.79 and 225,145.22

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Solution

The fourth proportional to 393,434.87, 590,742.79 and 225,145.22 is: 338,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,434.87 : 590,742.79 = 225,145.22 : x
  2. Step 2: Convert to fraction form
    393,434.87/590,742.79 = 225,145.22/x
  3. Step 3: Cross multiply
    393,434.87x = 590,742.79 × 225,145.22
  4. Step 4: Simplify right side
    393,434.87x = 133,002,911,901.39
  5. Step 5: Solve for x
    x = 133,002,911,901.39/393,434.87
  6. Step 6: Final answer
    x = 338,055.73

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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.