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Finding the Fourth Proportional to 276,183.76, 413,384.64 and 142,880.44

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Solution

The fourth proportional to 276,183.76, 413,384.64 and 142,880.44 is: 213,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,183.76 : 413,384.64 = 142,880.44 : x
  2. Step 2: Convert to fraction form
    276,183.76/413,384.64 = 142,880.44/x
  3. Step 3: Cross multiply
    276,183.76x = 413,384.64 × 142,880.44
  4. Step 4: Simplify right side
    276,183.76x = 59,064,579,252.44
  5. Step 5: Solve for x
    x = 59,064,579,252.44/276,183.76
  6. Step 6: Final answer
    x = 213,859.71

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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.