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Finding the Fourth Proportional to 276,412.16, 414,620.54 and 76,748.11

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Solution

The fourth proportional to 276,412.16, 414,620.54 and 76,748.11 is: 115,122.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,412.16 : 414,620.54 = 76,748.11 : x
  2. Step 2: Convert to fraction form
    276,412.16/414,620.54 = 76,748.11/x
  3. Step 3: Cross multiply
    276,412.16x = 414,620.54 × 76,748.11
  4. Step 4: Simplify right side
    276,412.16x = 31,821,343,234.52
  5. Step 5: Solve for x
    x = 31,821,343,234.52/276,412.16
  6. Step 6: Final answer
    x = 115,122.81

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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.