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Finding the Fourth Proportional to 272,912.70, 409,369.05 and 173,513.55

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Solution

The fourth proportional to 272,912.70, 409,369.05 and 173,513.55 is: 260,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,912.70 : 409,369.05 = 173,513.55 : x
  2. Step 2: Convert to fraction form
    272,912.70/409,369.05 = 173,513.55/x
  3. Step 3: Cross multiply
    272,912.70x = 409,369.05 × 173,513.55
  4. Step 4: Simplify right side
    272,912.70x = 71,031,077,125.63
  5. Step 5: Solve for x
    x = 71,031,077,125.63/272,912.70
  6. Step 6: Final answer
    x = 260,270.33

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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.