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Finding the Fourth Proportional to 357,912, 493,905.98 and 196,765.88

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Solution

The fourth proportional to 357,912, 493,905.98 and 196,765.88 is: 271,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,912 : 493,905.98 = 196,765.88 : x
  2. Step 2: Convert to fraction form
    357,912/493,905.98 = 196,765.88/x
  3. Step 3: Cross multiply
    357,912x = 493,905.98 × 196,765.88
  4. Step 4: Simplify right side
    357,912x = 97,183,841,338.60
  5. Step 5: Solve for x
    x = 97,183,841,338.60/357,912
  6. Step 6: Final answer
    x = 271,529.99

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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.