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Finding the Fourth Proportional to 421,003.16, 580,992.72 and 230,028.40

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Solution

The fourth proportional to 421,003.16, 580,992.72 and 230,028.40 is: 317,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,003.16 : 580,992.72 = 230,028.40 : x
  2. Step 2: Convert to fraction form
    421,003.16/580,992.72 = 230,028.40/x
  3. Step 3: Cross multiply
    421,003.16x = 580,992.72 × 230,028.40
  4. Step 4: Simplify right side
    421,003.16x = 133,644,825,793.25
  5. Step 5: Solve for x
    x = 133,644,825,793.25/421,003.16
  6. Step 6: Final answer
    x = 317,443.76

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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.