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Finding the Fourth Proportional to 398,783.94, 550,435.65 and 226,794.62

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Solution

The fourth proportional to 398,783.94, 550,435.65 and 226,794.62 is: 313,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,783.94 : 550,435.65 = 226,794.62 : x
  2. Step 2: Convert to fraction form
    398,783.94/550,435.65 = 226,794.62/x
  3. Step 3: Cross multiply
    398,783.94x = 550,435.65 × 226,794.62
  4. Step 4: Simplify right side
    398,783.94x = 124,835,841,324.03
  5. Step 5: Solve for x
    x = 124,835,841,324.03/398,783.94
  6. Step 6: Final answer
    x = 313,041.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.