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Finding the Fourth Proportional to 421,084.96, 581,098.79 and 230,098.38

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Solution

The fourth proportional to 421,084.96, 581,098.79 and 230,098.38 is: 317,536.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,084.96 : 581,098.79 = 230,098.38 : x
  2. Step 2: Convert to fraction form
    421,084.96/581,098.79 = 230,098.38/x
  3. Step 3: Cross multiply
    421,084.96x = 581,098.79 × 230,098.38
  4. Step 4: Simplify right side
    421,084.96x = 133,709,890,198.96
  5. Step 5: Solve for x
    x = 133,709,890,198.96/421,084.96
  6. Step 6: Final answer
    x = 317,536.61

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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.