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Finding the Fourth Proportional to 414,760.40, 622,140.60 and 288,133.10

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Solution

The fourth proportional to 414,760.40, 622,140.60 and 288,133.10 is: 432,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,760.40 : 622,140.60 = 288,133.10 : x
  2. Step 2: Convert to fraction form
    414,760.40/622,140.60 = 288,133.10/x
  3. Step 3: Cross multiply
    414,760.40x = 622,140.60 × 288,133.10
  4. Step 4: Simplify right side
    414,760.40x = 179,259,299,713.86
  5. Step 5: Solve for x
    x = 179,259,299,713.86/414,760.40
  6. Step 6: Final answer
    x = 432,199.65

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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.