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Finding the Fourth Proportional to 276,289.38, 414,392.94 and 76,588.92

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Solution

The fourth proportional to 276,289.38, 414,392.94 and 76,588.92 is: 114,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,289.38 : 414,392.94 = 76,588.92 : x
  2. Step 2: Convert to fraction form
    276,289.38/414,392.94 = 76,588.92/x
  3. Step 3: Cross multiply
    276,289.38x = 414,392.94 × 76,588.92
  4. Step 4: Simplify right side
    276,289.38x = 31,737,907,730.22
  5. Step 5: Solve for x
    x = 31,737,907,730.22/276,289.38
  6. Step 6: Final answer
    x = 114,871.98

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1.5x scale

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.