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Finding the Fourth Proportional to 421,004.06, 580,978.82 and 230,013.36

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Solution

The fourth proportional to 421,004.06, 580,978.82 and 230,013.36 is: 317,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,004.06 : 580,978.82 = 230,013.36 : x
  2. Step 2: Convert to fraction form
    421,004.06/580,978.82 = 230,013.36/x
  3. Step 3: Cross multiply
    421,004.06x = 580,978.82 × 230,013.36
  4. Step 4: Simplify right side
    421,004.06x = 133,632,890,477.04
  5. Step 5: Solve for x
    x = 133,632,890,477.04/421,004.06
  6. Step 6: Final answer
    x = 317,414.73

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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.