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Finding the Fourth Proportional to 689,872.41, 951,209.46 and 472,185.96

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Solution

The fourth proportional to 689,872.41, 951,209.46 and 472,185.96 is: 651,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,872.41 : 951,209.46 = 472,185.96 : x
  2. Step 2: Convert to fraction form
    689,872.41/951,209.46 = 472,185.96/x
  3. Step 3: Cross multiply
    689,872.41x = 951,209.46 × 472,185.96
  4. Step 4: Simplify right side
    689,872.41x = 449,147,752,031.18
  5. Step 5: Solve for x
    x = 449,147,752,031.18/689,872.41
  6. Step 6: Final answer
    x = 651,059.16

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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.