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Finding the Fourth Proportional to 335,574, 502,991.28 and 135,769.68

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Solution

The fourth proportional to 335,574, 502,991.28 and 135,769.68 is: 203,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,574 : 502,991.28 = 135,769.68 : x
  2. Step 2: Convert to fraction form
    335,574/502,991.28 = 135,769.68/x
  3. Step 3: Cross multiply
    335,574x = 502,991.28 × 135,769.68
  4. Step 4: Simplify right side
    335,574x = 68,290,965,128.39
  5. Step 5: Solve for x
    x = 68,290,965,128.39/335,574
  6. Step 6: Final answer
    x = 203,504.94

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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.