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Finding the Fourth Proportional to 352,206.76, 486,034.34 and 197,158

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Solution

The fourth proportional to 352,206.76, 486,034.34 and 197,158 is: 272,071.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,206.76 : 486,034.34 = 197,158 : x
  2. Step 2: Convert to fraction form
    352,206.76/486,034.34 = 197,158/x
  3. Step 3: Cross multiply
    352,206.76x = 486,034.34 × 197,158
  4. Step 4: Simplify right side
    352,206.76x = 95,825,558,405.72
  5. Step 5: Solve for x
    x = 95,825,558,405.72/352,206.76
  6. Step 6: Final answer
    x = 272,071.89

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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.