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Finding the Fourth Proportional to 414,803.40, 622,205.10 and 407,891.40

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Solution

The fourth proportional to 414,803.40, 622,205.10 and 407,891.40 is: 611,837.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,803.40 : 622,205.10 = 407,891.40 : x
  2. Step 2: Convert to fraction form
    414,803.40/622,205.10 = 407,891.40/x
  3. Step 3: Cross multiply
    414,803.40x = 622,205.10 × 407,891.40
  4. Step 4: Simplify right side
    414,803.40x = 253,792,109,326.14
  5. Step 5: Solve for x
    x = 253,792,109,326.14/414,803.40
  6. Step 6: Final answer
    x = 611,837.10

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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.