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Finding the Fourth Proportional to 538,449.76, 807,160.32 and 201,399.04

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Solution

The fourth proportional to 538,449.76, 807,160.32 and 201,399.04 is: 301,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,449.76 : 807,160.32 = 201,399.04 : x
  2. Step 2: Convert to fraction form
    538,449.76/807,160.32 = 201,399.04/x
  3. Step 3: Cross multiply
    538,449.76x = 807,160.32 × 201,399.04
  4. Step 4: Simplify right side
    538,449.76x = 162,561,313,574.09
  5. Step 5: Solve for x
    x = 162,561,313,574.09/538,449.76
  6. Step 6: Final answer
    x = 301,906.19

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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.