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Finding the Fourth Proportional to 420,796.96, 580,703.76 and 239,500

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Solution

The fourth proportional to 420,796.96, 580,703.76 and 239,500 is: 330,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,796.96 : 580,703.76 = 239,500 : x
  2. Step 2: Convert to fraction form
    420,796.96/580,703.76 = 239,500/x
  3. Step 3: Cross multiply
    420,796.96x = 580,703.76 × 239,500
  4. Step 4: Simplify right side
    420,796.96x = 139,078,550,520
  5. Step 5: Solve for x
    x = 139,078,550,520/420,796.96
  6. Step 6: Final answer
    x = 330,512.25

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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.