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Finding the Fourth Proportional to 357,917, 493,912.86 and 196,770.90

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Solution

The fourth proportional to 357,917, 493,912.86 and 196,770.90 is: 271,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,917 : 493,912.86 = 196,770.90 : x
  2. Step 2: Convert to fraction form
    357,917/493,912.86 = 196,770.90/x
  3. Step 3: Cross multiply
    357,917x = 493,912.86 × 196,770.90
  4. Step 4: Simplify right side
    357,917x = 97,187,677,983.77
  5. Step 5: Solve for x
    x = 97,187,677,983.77/357,917
  6. Step 6: Final answer
    x = 271,536.91

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1.5x scale

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.