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Finding the Fourth Proportional to 357,284.88, 493,022.04 and 196,139.28

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Solution

The fourth proportional to 357,284.88, 493,022.04 and 196,139.28 is: 270,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,284.88 : 493,022.04 = 196,139.28 : x
  2. Step 2: Convert to fraction form
    357,284.88/493,022.04 = 196,139.28/x
  3. Step 3: Cross multiply
    357,284.88x = 493,022.04 × 196,139.28
  4. Step 4: Simplify right side
    357,284.88x = 96,700,987,949.73
  5. Step 5: Solve for x
    x = 96,700,987,949.73/357,284.88
  6. Step 6: Final answer
    x = 270,655.14

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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.