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Finding the Fourth Proportional to 276,382.89, 414,646.74 and 86,835.60

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Solution

The fourth proportional to 276,382.89, 414,646.74 and 86,835.60 is: 130,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,382.89 : 414,646.74 = 86,835.60 : x
  2. Step 2: Convert to fraction form
    276,382.89/414,646.74 = 86,835.60/x
  3. Step 3: Cross multiply
    276,382.89x = 414,646.74 × 86,835.60
  4. Step 4: Simplify right side
    276,382.89x = 36,006,098,455.94
  5. Step 5: Solve for x
    x = 36,006,098,455.94/276,382.89
  6. Step 6: Final answer
    x = 130,276.15

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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.