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Finding the Fourth Proportional to 276,329.34, 414,502.89 and 76,651.74

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Solution

The fourth proportional to 276,329.34, 414,502.89 and 76,651.74 is: 114,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,329.34 : 414,502.89 = 76,651.74 : x
  2. Step 2: Convert to fraction form
    276,329.34/414,502.89 = 76,651.74/x
  3. Step 3: Cross multiply
    276,329.34x = 414,502.89 × 76,651.74
  4. Step 4: Simplify right side
    276,329.34x = 31,772,367,753.53
  5. Step 5: Solve for x
    x = 31,772,367,753.53/276,329.34
  6. Step 6: Final answer
    x = 114,980.07

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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.