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Finding the Fourth Proportional to 496,861.56, 685,672.29 and 282,005.22

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Solution

The fourth proportional to 496,861.56, 685,672.29 and 282,005.22 is: 389,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,861.56 : 685,672.29 = 282,005.22 : x
  2. Step 2: Convert to fraction form
    496,861.56/685,672.29 = 282,005.22/x
  3. Step 3: Cross multiply
    496,861.56x = 685,672.29 × 282,005.22
  4. Step 4: Simplify right side
    496,861.56x = 193,363,164,989.35
  5. Step 5: Solve for x
    x = 193,363,164,989.35/496,861.56
  6. Step 6: Final answer
    x = 389,169.10

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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.