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Finding the Fourth Proportional to 447,795.64, 617,835.54 and 311,676.76

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Solution

The fourth proportional to 447,795.64, 617,835.54 and 311,676.76 is: 430,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,795.64 : 617,835.54 = 311,676.76 : x
  2. Step 2: Convert to fraction form
    447,795.64/617,835.54 = 311,676.76/x
  3. Step 3: Cross multiply
    447,795.64x = 617,835.54 × 311,676.76
  4. Step 4: Simplify right side
    447,795.64x = 192,564,979,320.05
  5. Step 5: Solve for x
    x = 192,564,979,320.05/447,795.64
  6. Step 6: Final answer
    x = 430,028.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.