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Finding the Fourth Proportional to 414,807.96, 622,582.80 and 212,542.05

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Solution

The fourth proportional to 414,807.96, 622,582.80 and 212,542.05 is: 319,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,807.96 : 622,582.80 = 212,542.05 : x
  2. Step 2: Convert to fraction form
    414,807.96/622,582.80 = 212,542.05/x
  3. Step 3: Cross multiply
    414,807.96x = 622,582.80 × 212,542.05
  4. Step 4: Simplify right side
    414,807.96x = 132,325,024,606.74
  5. Step 5: Solve for x
    x = 132,325,024,606.74/414,807.96
  6. Step 6: Final answer
    x = 319,003.10

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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.