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Finding the Fourth Proportional to 447,524.64, 671,182.56 and 287,115.84

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Solution

The fourth proportional to 447,524.64, 671,182.56 and 287,115.84 is: 430,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,524.64 : 671,182.56 = 287,115.84 : x
  2. Step 2: Convert to fraction form
    447,524.64/671,182.56 = 287,115.84/x
  3. Step 3: Cross multiply
    447,524.64x = 671,182.56 × 287,115.84
  4. Step 4: Simplify right side
    447,524.64x = 192,707,144,507.75
  5. Step 5: Solve for x
    x = 192,707,144,507.75/447,524.64
  6. Step 6: Final answer
    x = 430,606.78

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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.