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Finding the Fourth Proportional to 454,399.92, 681,601.50 and 138,855.51

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Solution

The fourth proportional to 454,399.92, 681,601.50 and 138,855.51 is: 208,283.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,399.92 : 681,601.50 = 138,855.51 : x
  2. Step 2: Convert to fraction form
    454,399.92/681,601.50 = 138,855.51/x
  3. Step 3: Cross multiply
    454,399.92x = 681,601.50 × 138,855.51
  4. Step 4: Simplify right side
    454,399.92x = 94,644,123,899.27
  5. Step 5: Solve for x
    x = 94,644,123,899.27/454,399.92
  6. Step 6: Final answer
    x = 208,283.76

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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.