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Finding the Fourth Proportional to 420,847.32, 580,769.32 and 229,861.16

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Solution

The fourth proportional to 420,847.32, 580,769.32 and 229,861.16 is: 317,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,847.32 : 580,769.32 = 229,861.16 : x
  2. Step 2: Convert to fraction form
    420,847.32/580,769.32 = 229,861.16/x
  3. Step 3: Cross multiply
    420,847.32x = 580,769.32 × 229,861.16
  4. Step 4: Simplify right side
    420,847.32x = 133,496,309,587.61
  5. Step 5: Solve for x
    x = 133,496,309,587.61/420,847.32
  6. Step 6: Final answer
    x = 317,208.41

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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.