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Finding the Fourth Proportional to 276,534.60, 414,802.20 and 76,855.02

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Solution

The fourth proportional to 276,534.60, 414,802.20 and 76,855.02 is: 115,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,534.60 : 414,802.20 = 76,855.02 : x
  2. Step 2: Convert to fraction form
    276,534.60/414,802.20 = 76,855.02/x
  3. Step 3: Cross multiply
    276,534.60x = 414,802.20 × 76,855.02
  4. Step 4: Simplify right side
    276,534.60x = 31,879,631,377.04
  5. Step 5: Solve for x
    x = 31,879,631,377.04/276,534.60
  6. Step 6: Final answer
    x = 115,282.61

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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.