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Finding the Fourth Proportional to 357,774.64, 493,740.85 and 196,635.40

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Solution

The fourth proportional to 357,774.64, 493,740.85 and 196,635.40 is: 271,363.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,774.64 : 493,740.85 = 196,635.40 : x
  2. Step 2: Convert to fraction form
    357,774.64/493,740.85 = 196,635.40/x
  3. Step 3: Cross multiply
    357,774.64x = 493,740.85 × 196,635.40
  4. Step 4: Simplify right side
    357,774.64x = 97,086,929,536.09
  5. Step 5: Solve for x
    x = 97,086,929,536.09/357,774.64
  6. Step 6: Final answer
    x = 271,363.36

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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.