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Finding the Fourth Proportional to 421,034.72, 581,027.02 and 230,049.48

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Solution

The fourth proportional to 421,034.72, 581,027.02 and 230,049.48 is: 317,467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,034.72 : 581,027.02 = 230,049.48 : x
  2. Step 2: Convert to fraction form
    421,034.72/581,027.02 = 230,049.48/x
  3. Step 3: Cross multiply
    421,034.72x = 581,027.02 × 230,049.48
  4. Step 4: Simplify right side
    421,034.72x = 133,664,963,816.95
  5. Step 5: Solve for x
    x = 133,664,963,816.95/421,034.72
  6. Step 6: Final answer
    x = 317,467.79

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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.