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Finding the Fourth Proportional to 414,419.14, 622,210.29 and 212,159.71

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Solution

The fourth proportional to 414,419.14, 622,210.29 and 212,159.71 is: 318,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,419.14 : 622,210.29 = 212,159.71 : x
  2. Step 2: Convert to fraction form
    414,419.14/622,210.29 = 212,159.71/x
  3. Step 3: Cross multiply
    414,419.14x = 622,210.29 × 212,159.71
  4. Step 4: Simplify right side
    414,419.14x = 132,007,954,685.42
  5. Step 5: Solve for x
    x = 132,007,954,685.42/414,419.14
  6. Step 6: Final answer
    x = 318,537.30

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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.