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Finding the Fourth Proportional to 270,665.69, 406,039.53 and 196,346.65

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Solution

The fourth proportional to 270,665.69, 406,039.53 and 196,346.65 is: 294,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,665.69 : 406,039.53 = 196,346.65 : x
  2. Step 2: Convert to fraction form
    270,665.69/406,039.53 = 196,346.65/x
  3. Step 3: Cross multiply
    270,665.69x = 406,039.53 × 196,346.65
  4. Step 4: Simplify right side
    270,665.69x = 79,724,501,483.07
  5. Step 5: Solve for x
    x = 79,724,501,483.07/270,665.69
  6. Step 6: Final answer
    x = 294,549.71

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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.