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Finding the Fourth Proportional to 276,588.64, 414,908.64 and 214,328.80

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Solution

The fourth proportional to 276,588.64, 414,908.64 and 214,328.80 is: 321,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,588.64 : 414,908.64 = 214,328.80 : x
  2. Step 2: Convert to fraction form
    276,588.64/414,908.64 = 214,328.80/x
  3. Step 3: Cross multiply
    276,588.64x = 414,908.64 × 214,328.80
  4. Step 4: Simplify right side
    276,588.64x = 88,926,870,920.83
  5. Step 5: Solve for x
    x = 88,926,870,920.83/276,588.64
  6. Step 6: Final answer
    x = 321,513.10

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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.