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Finding the Fourth Proportional to 315,199.53, 434,915.82 and 187,886.97

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Solution

The fourth proportional to 315,199.53, 434,915.82 and 187,886.97 is: 259,248.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,199.53 : 434,915.82 = 187,886.97 : x
  2. Step 2: Convert to fraction form
    315,199.53/434,915.82 = 187,886.97/x
  3. Step 3: Cross multiply
    315,199.53x = 434,915.82 × 187,886.97
  4. Step 4: Simplify right side
    315,199.53x = 81,715,015,624.87
  5. Step 5: Solve for x
    x = 81,715,015,624.87/315,199.53
  6. Step 6: Final answer
    x = 259,248.53

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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.