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Finding the Fourth Proportional to 357,797.09, 493,763.07 and 196,655.90

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Solution

The fourth proportional to 357,797.09, 493,763.07 and 196,655.90 is: 271,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,797.09 : 493,763.07 = 196,655.90 : x
  2. Step 2: Convert to fraction form
    357,797.09/493,763.07 = 196,655.90/x
  3. Step 3: Cross multiply
    357,797.09x = 493,763.07 × 196,655.90
  4. Step 4: Simplify right side
    357,797.09x = 97,101,419,186.26
  5. Step 5: Solve for x
    x = 97,101,419,186.26/357,797.09
  6. Step 6: Final answer
    x = 271,386.83

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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.