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Finding the Fourth Proportional to 272,784.93, 409,121.49 and 171,536.55

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Solution

The fourth proportional to 272,784.93, 409,121.49 and 171,536.55 is: 257,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,784.93 : 409,121.49 = 171,536.55 : x
  2. Step 2: Convert to fraction form
    272,784.93/409,121.49 = 171,536.55/x
  3. Step 3: Cross multiply
    272,784.93x = 409,121.49 × 171,536.55
  4. Step 4: Simplify right side
    272,784.93x = 70,179,288,034.52
  5. Step 5: Solve for x
    x = 70,179,288,034.52/272,784.93
  6. Step 6: Final answer
    x = 257,269.67

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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.