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Finding the Fourth Proportional to 421,352.88, 581,467.17 and 230,367.84

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Solution

The fourth proportional to 421,352.88, 581,467.17 and 230,367.84 is: 317,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,352.88 : 581,467.17 = 230,367.84 : x
  2. Step 2: Convert to fraction form
    421,352.88/581,467.17 = 230,367.84/x
  3. Step 3: Cross multiply
    421,352.88x = 581,467.17 × 230,367.84
  4. Step 4: Simplify right side
    421,352.88x = 133,951,335,983.81
  5. Step 5: Solve for x
    x = 133,951,335,983.81/421,352.88
  6. Step 6: Final answer
    x = 317,907.73

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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.