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Finding the Fourth Proportional to 270,958.40, 406,699.92 and 130,815.36

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Solution

The fourth proportional to 270,958.40, 406,699.92 and 130,815.36 is: 196,349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,958.40 : 406,699.92 = 130,815.36 : x
  2. Step 2: Convert to fraction form
    270,958.40/406,699.92 = 130,815.36/x
  3. Step 3: Cross multiply
    270,958.40x = 406,699.92 × 130,815.36
  4. Step 4: Simplify right side
    270,958.40x = 53,202,596,446.77
  5. Step 5: Solve for x
    x = 53,202,596,446.77/270,958.40
  6. Step 6: Final answer
    x = 196,349.68

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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.