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Finding the Fourth Proportional to 357,505.76, 493,363.20 and 196,375.28

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Solution

The fourth proportional to 357,505.76, 493,363.20 and 196,375.28 is: 271,000.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,505.76 : 493,363.20 = 196,375.28 : x
  2. Step 2: Convert to fraction form
    357,505.76/493,363.20 = 196,375.28/x
  3. Step 3: Cross multiply
    357,505.76x = 493,363.20 × 196,375.28
  4. Step 4: Simplify right side
    357,505.76x = 96,884,336,541.70
  5. Step 5: Solve for x
    x = 96,884,336,541.70/357,505.76
  6. Step 6: Final answer
    x = 271,000.77

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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.