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Finding the Fourth Proportional to 357,915.50, 493,910.78 and 196,769.40

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Solution

The fourth proportional to 357,915.50, 493,910.78 and 196,769.40 is: 271,534.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,915.50 : 493,910.78 = 196,769.40 : x
  2. Step 2: Convert to fraction form
    357,915.50/493,910.78 = 196,769.40/x
  3. Step 3: Cross multiply
    357,915.50x = 493,910.78 × 196,769.40
  4. Step 4: Simplify right side
    357,915.50x = 97,186,527,834.13
  5. Step 5: Solve for x
    x = 97,186,527,834.13/357,915.50
  6. Step 6: Final answer
    x = 271,534.84

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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.