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Finding the Fourth Proportional to 504,120, 755,912.70 and 149,084.85

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Solution

The fourth proportional to 504,120, 755,912.70 and 149,084.85 is: 223,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,120 : 755,912.70 = 149,084.85 : x
  2. Step 2: Convert to fraction form
    504,120/755,912.70 = 149,084.85/x
  3. Step 3: Cross multiply
    504,120x = 755,912.70 × 149,084.85
  4. Step 4: Simplify right side
    504,120x = 112,695,131,492.60
  5. Step 5: Solve for x
    x = 112,695,131,492.60/504,120
  6. Step 6: Final answer
    x = 223,548.23

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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.