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Finding the Fourth Proportional to 414,038.40, 620,614.64 and 214,157.54

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Solution

The fourth proportional to 414,038.40, 620,614.64 and 214,157.54 is: 321,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,038.40 : 620,614.64 = 214,157.54 : x
  2. Step 2: Convert to fraction form
    414,038.40/620,614.64 = 214,157.54/x
  3. Step 3: Cross multiply
    414,038.40x = 620,614.64 × 214,157.54
  4. Step 4: Simplify right side
    414,038.40x = 132,909,304,590.39
  5. Step 5: Solve for x
    x = 132,909,304,590.39/414,038.40
  6. Step 6: Final answer
    x = 321,007.19

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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.