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Finding the Fourth Proportional to 490,862.10, 736,211.12 and 135,912

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Solution

The fourth proportional to 490,862.10, 736,211.12 and 135,912 is: 203,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,862.10 : 736,211.12 = 135,912 : x
  2. Step 2: Convert to fraction form
    490,862.10/736,211.12 = 135,912/x
  3. Step 3: Cross multiply
    490,862.10x = 736,211.12 × 135,912
  4. Step 4: Simplify right side
    490,862.10x = 100,059,925,741.44
  5. Step 5: Solve for x
    x = 100,059,925,741.44/490,862.10
  6. Step 6: Final answer
    x = 203,845.29

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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.