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Finding the Fourth Proportional to 414,780.40, 622,170.60 and 407,868.40

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Solution

The fourth proportional to 414,780.40, 622,170.60 and 407,868.40 is: 611,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,780.40 : 622,170.60 = 407,868.40 : x
  2. Step 2: Convert to fraction form
    414,780.40/622,170.60 = 407,868.40/x
  3. Step 3: Cross multiply
    414,780.40x = 622,170.60 × 407,868.40
  4. Step 4: Simplify right side
    414,780.40x = 253,763,727,149.04
  5. Step 5: Solve for x
    x = 253,763,727,149.04/414,780.40
  6. Step 6: Final answer
    x = 611,802.60

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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.