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Finding the Fourth Proportional to 309,566.87, 427,020.81 and 194,663.24

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Solution

The fourth proportional to 309,566.87, 427,020.81 and 194,663.24 is: 268,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,566.87 : 427,020.81 = 194,663.24 : x
  2. Step 2: Convert to fraction form
    309,566.87/427,020.81 = 194,663.24/x
  3. Step 3: Cross multiply
    309,566.87x = 427,020.81 × 194,663.24
  4. Step 4: Simplify right side
    309,566.87x = 83,125,252,286.92
  5. Step 5: Solve for x
    x = 83,125,252,286.92/309,566.87
  6. Step 6: Final answer
    x = 268,521.16

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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.