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Finding the Fourth Proportional to 230,797, 318,461.38 and 154,193.28

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Solution

The fourth proportional to 230,797, 318,461.38 and 154,193.28 is: 212,761.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,797 : 318,461.38 = 154,193.28 : x
  2. Step 2: Convert to fraction form
    230,797/318,461.38 = 154,193.28/x
  3. Step 3: Cross multiply
    230,797x = 318,461.38 × 154,193.28
  4. Step 4: Simplify right side
    230,797x = 49,104,604,735.53
  5. Step 5: Solve for x
    x = 49,104,604,735.53/230,797
  6. Step 6: Final answer
    x = 212,761.02

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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.