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Finding the Fourth Proportional to 421,069.70, 581,069.22 and 230,078.72

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Solution

The fourth proportional to 421,069.70, 581,069.22 and 230,078.72 is: 317,504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,069.70 : 581,069.22 = 230,078.72 : x
  2. Step 2: Convert to fraction form
    421,069.70/581,069.22 = 230,078.72/x
  3. Step 3: Cross multiply
    421,069.70x = 581,069.22 × 230,078.72
  4. Step 4: Simplify right side
    421,069.70x = 133,691,662,369.00
  5. Step 5: Solve for x
    x = 133,691,662,369.00/421,069.70
  6. Step 6: Final answer
    x = 317,504.83

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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.