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Finding the Fourth Proportional to 463,889.70, 640,167.87 and 282,601.57

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Solution

The fourth proportional to 463,889.70, 640,167.87 and 282,601.57 is: 389,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,889.70 : 640,167.87 = 282,601.57 : x
  2. Step 2: Convert to fraction form
    463,889.70/640,167.87 = 282,601.57/x
  3. Step 3: Cross multiply
    463,889.70x = 640,167.87 × 282,601.57
  4. Step 4: Simplify right side
    463,889.70x = 180,912,445,125.56
  5. Step 5: Solve for x
    x = 180,912,445,125.56/463,889.70
  6. Step 6: Final answer
    x = 389,990.22

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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.