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Finding the Fourth Proportional to 357,390, 493,194.55 and 196,243.54

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Solution

The fourth proportional to 357,390, 493,194.55 and 196,243.54 is: 270,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,390 : 493,194.55 = 196,243.54 : x
  2. Step 2: Convert to fraction form
    357,390/493,194.55 = 196,243.54/x
  3. Step 3: Cross multiply
    357,390x = 493,194.55 × 196,243.54
  4. Step 4: Simplify right side
    357,390x = 96,786,244,400.71
  5. Step 5: Solve for x
    x = 96,786,244,400.71/357,390
  6. Step 6: Final answer
    x = 270,814.08

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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.