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Finding the Fourth Proportional to 357,449.60, 493,283.86 and 196,308

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Solution

The fourth proportional to 357,449.60, 493,283.86 and 196,308 is: 270,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,449.60 : 493,283.86 = 196,308 : x
  2. Step 2: Convert to fraction form
    357,449.60/493,283.86 = 196,308/x
  3. Step 3: Cross multiply
    357,449.60x = 493,283.86 × 196,308
  4. Step 4: Simplify right side
    357,449.60x = 96,835,567,498.11
  5. Step 5: Solve for x
    x = 96,835,567,498.11/357,449.60
  6. Step 6: Final answer
    x = 270,906.91

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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.