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Finding the Fourth Proportional to 421,100.96, 581,094.84 and 230,115.92

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Solution

The fourth proportional to 421,100.96, 581,094.84 and 230,115.92 is: 317,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,100.96 : 581,094.84 = 230,115.92 : x
  2. Step 2: Convert to fraction form
    421,100.96/581,094.84 = 230,115.92/x
  3. Step 3: Cross multiply
    421,100.96x = 581,094.84 × 230,115.92
  4. Step 4: Simplify right side
    421,100.96x = 133,719,173,713.85
  5. Step 5: Solve for x
    x = 133,719,173,713.85/421,100.96
  6. Step 6: Final answer
    x = 317,546.59

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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.