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Finding the Fourth Proportional to 270,586.31, 406,019.45 and 196,319.43

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Solution

The fourth proportional to 270,586.31, 406,019.45 and 196,319.43 is: 294,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,586.31 : 406,019.45 = 196,319.43 : x
  2. Step 2: Convert to fraction form
    270,586.31/406,019.45 = 196,319.43/x
  3. Step 3: Cross multiply
    270,586.31x = 406,019.45 × 196,319.43
  4. Step 4: Simplify right side
    270,586.31x = 79,709,506,992.91
  5. Step 5: Solve for x
    x = 79,709,506,992.91/270,586.31
  6. Step 6: Final answer
    x = 294,580.71

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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.