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Finding the Fourth Proportional to 312,769.89, 469,082.88 and 186,445.80

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Solution

The fourth proportional to 312,769.89, 469,082.88 and 186,445.80 is: 279,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,769.89 : 469,082.88 = 186,445.80 : x
  2. Step 2: Convert to fraction form
    312,769.89/469,082.88 = 186,445.80/x
  3. Step 3: Cross multiply
    312,769.89x = 469,082.88 × 186,445.80
  4. Step 4: Simplify right side
    312,769.89x = 87,458,532,827.90
  5. Step 5: Solve for x
    x = 87,458,532,827.90/312,769.89
  6. Step 6: Final answer
    x = 279,625.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.