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Finding the Fourth Proportional to 420,633.24, 580,483.74 and 229,647.96

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Solution

The fourth proportional to 420,633.24, 580,483.74 and 229,647.96 is: 316,919.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,633.24 : 580,483.74 = 229,647.96 : x
  2. Step 2: Convert to fraction form
    420,633.24/580,483.74 = 229,647.96/x
  3. Step 3: Cross multiply
    420,633.24x = 580,483.74 × 229,647.96
  4. Step 4: Simplify right side
    420,633.24x = 133,306,906,704.17
  5. Step 5: Solve for x
    x = 133,306,906,704.17/420,633.24
  6. Step 6: Final answer
    x = 316,919.57

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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.