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Finding the Fourth Proportional to 357,770.64, 493,735.32 and 196,631.40

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Solution

The fourth proportional to 357,770.64, 493,735.32 and 196,631.40 is: 271,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,770.64 : 493,735.32 = 196,631.40 : x
  2. Step 2: Convert to fraction form
    357,770.64/493,735.32 = 196,631.40/x
  3. Step 3: Cross multiply
    357,770.64x = 493,735.32 × 196,631.40
  4. Step 4: Simplify right side
    357,770.64x = 97,083,867,201.05
  5. Step 5: Solve for x
    x = 97,083,867,201.05/357,770.64
  6. Step 6: Final answer
    x = 271,357.84

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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.