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Finding the Fourth Proportional to 276,407.25, 414,613.23 and 76,743.21

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Solution

The fourth proportional to 276,407.25, 414,613.23 and 76,743.21 is: 115,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,407.25 : 414,613.23 = 76,743.21 : x
  2. Step 2: Convert to fraction form
    276,407.25/414,613.23 = 76,743.21/x
  3. Step 3: Cross multiply
    276,407.25x = 414,613.23 × 76,743.21
  4. Step 4: Simplify right side
    276,407.25x = 31,818,750,178.67
  5. Step 5: Solve for x
    x = 31,818,750,178.67/276,407.25
  6. Step 6: Final answer
    x = 115,115.47

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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.