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Finding the Fourth Proportional to 475,882.68, 712,872.30 and 286,238.34

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Solution

The fourth proportional to 475,882.68, 712,872.30 and 286,238.34 is: 428,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,882.68 : 712,872.30 = 286,238.34 : x
  2. Step 2: Convert to fraction form
    475,882.68/712,872.30 = 286,238.34/x
  3. Step 3: Cross multiply
    475,882.68x = 712,872.30 × 286,238.34
  4. Step 4: Simplify right side
    475,882.68x = 204,051,383,783.98
  5. Step 5: Solve for x
    x = 204,051,383,783.98/475,882.68
  6. Step 6: Final answer
    x = 428,785.06

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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.