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Finding the Fourth Proportional to 513,965.54, 770,915.48 and 158,949.84

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Solution

The fourth proportional to 513,965.54, 770,915.48 and 158,949.84 is: 238,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,965.54 : 770,915.48 = 158,949.84 : x
  2. Step 2: Convert to fraction form
    513,965.54/770,915.48 = 158,949.84/x
  3. Step 3: Cross multiply
    513,965.54x = 770,915.48 × 158,949.84
  4. Step 4: Simplify right side
    513,965.54x = 122,536,892,199.52
  5. Step 5: Solve for x
    x = 122,536,892,199.52/513,965.54
  6. Step 6: Final answer
    x = 238,414.61

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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.