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Finding the Fourth Proportional to 390,473.46, 585,198.27 and 222,071.22

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Solution

The fourth proportional to 390,473.46, 585,198.27 and 222,071.22 is: 332,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,473.46 : 585,198.27 = 222,071.22 : x
  2. Step 2: Convert to fraction form
    390,473.46/585,198.27 = 222,071.22/x
  3. Step 3: Cross multiply
    390,473.46x = 585,198.27 × 222,071.22
  4. Step 4: Simplify right side
    390,473.46x = 129,955,693,760.79
  5. Step 5: Solve for x
    x = 129,955,693,760.79/390,473.46
  6. Step 6: Final answer
    x = 332,815.69

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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.