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Finding the Fourth Proportional to 414,938.40, 622,407.60 and 408,026.40

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Solution

The fourth proportional to 414,938.40, 622,407.60 and 408,026.40 is: 612,039.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,938.40 : 622,407.60 = 408,026.40 : x
  2. Step 2: Convert to fraction form
    414,938.40/622,407.60 = 408,026.40/x
  3. Step 3: Cross multiply
    414,938.40x = 622,407.60 × 408,026.40
  4. Step 4: Simplify right side
    414,938.40x = 253,958,732,360.64
  5. Step 5: Solve for x
    x = 253,958,732,360.64/414,938.40
  6. Step 6: Final answer
    x = 612,039.60

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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.