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Finding the Fourth Proportional to 274,574.09, 411,900.26 and 85,049.35

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Solution

The fourth proportional to 274,574.09, 411,900.26 and 85,049.35 is: 127,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,574.09 : 411,900.26 = 85,049.35 : x
  2. Step 2: Convert to fraction form
    274,574.09/411,900.26 = 85,049.35/x
  3. Step 3: Cross multiply
    274,574.09x = 411,900.26 × 85,049.35
  4. Step 4: Simplify right side
    274,574.09x = 35,031,851,536.61
  5. Step 5: Solve for x
    x = 35,031,851,536.61/274,574.09
  6. Step 6: Final answer
    x = 127,586.15

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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.