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Finding the Fourth Proportional to 276,086.40, 414,129.60 and 186,856.80

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Solution

The fourth proportional to 276,086.40, 414,129.60 and 186,856.80 is: 280,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,086.40 : 414,129.60 = 186,856.80 : x
  2. Step 2: Convert to fraction form
    276,086.40/414,129.60 = 186,856.80/x
  3. Step 3: Cross multiply
    276,086.40x = 414,129.60 × 186,856.80
  4. Step 4: Simplify right side
    276,086.40x = 77,382,931,841.28
  5. Step 5: Solve for x
    x = 77,382,931,841.28/276,086.40
  6. Step 6: Final answer
    x = 280,285.20

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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.