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Finding the Fourth Proportional to 415,435.17, 623,257.74 and 115,915.57

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Solution

The fourth proportional to 415,435.17, 623,257.74 and 115,915.57 is: 173,902.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,435.17 : 623,257.74 = 115,915.57 : x
  2. Step 2: Convert to fraction form
    415,435.17/623,257.74 = 115,915.57/x
  3. Step 3: Cross multiply
    415,435.17x = 623,257.74 × 115,915.57
  4. Step 4: Simplify right side
    415,435.17x = 72,245,274,630.87
  5. Step 5: Solve for x
    x = 72,245,274,630.87/415,435.17
  6. Step 6: Final answer
    x = 173,902.64

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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.