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Finding the Fourth Proportional to 414,943.40, 622,415.10 and 408,031.40

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Solution

The fourth proportional to 414,943.40, 622,415.10 and 408,031.40 is: 612,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,943.40 : 622,415.10 = 408,031.40 : x
  2. Step 2: Convert to fraction form
    414,943.40/622,415.10 = 408,031.40/x
  3. Step 3: Cross multiply
    414,943.40x = 622,415.10 × 408,031.40
  4. Step 4: Simplify right side
    414,943.40x = 253,964,904,634.14
  5. Step 5: Solve for x
    x = 253,964,904,634.14/414,943.40
  6. Step 6: Final answer
    x = 612,047.10

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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.