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Finding the Fourth Proportional to 229,804.38, 317,129.25 and 129,202.38

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Solution

The fourth proportional to 229,804.38, 317,129.25 and 129,202.38 is: 178,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,804.38 : 317,129.25 = 129,202.38 : x
  2. Step 2: Convert to fraction form
    229,804.38/317,129.25 = 129,202.38/x
  3. Step 3: Cross multiply
    229,804.38x = 317,129.25 × 129,202.38
  4. Step 4: Simplify right side
    229,804.38x = 40,973,853,867.62
  5. Step 5: Solve for x
    x = 40,973,853,867.62/229,804.38
  6. Step 6: Final answer
    x = 178,298.84

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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.