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Finding the Fourth Proportional to 538,004.40, 806,920.20 and 163,940.40

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Solution

The fourth proportional to 538,004.40, 806,920.20 and 163,940.40 is: 245,884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,004.40 : 806,920.20 = 163,940.40 : x
  2. Step 2: Convert to fraction form
    538,004.40/806,920.20 = 163,940.40/x
  3. Step 3: Cross multiply
    538,004.40x = 806,920.20 × 163,940.40
  4. Step 4: Simplify right side
    538,004.40x = 132,286,820,356.08
  5. Step 5: Solve for x
    x = 132,286,820,356.08/538,004.40
  6. Step 6: Final answer
    x = 245,884.27

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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.