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Finding the Fourth Proportional to 415,863.32, 623,872.13 and 131,625.41

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Solution

The fourth proportional to 415,863.32, 623,872.13 and 131,625.41 is: 197,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,863.32 : 623,872.13 = 131,625.41 : x
  2. Step 2: Convert to fraction form
    415,863.32/623,872.13 = 131,625.41/x
  3. Step 3: Cross multiply
    415,863.32x = 623,872.13 × 131,625.41
  4. Step 4: Simplify right side
    415,863.32x = 82,117,421,121.34
  5. Step 5: Solve for x
    x = 82,117,421,121.34/415,863.32
  6. Step 6: Final answer
    x = 197,462.53

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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.