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Finding the Fourth Proportional to 352,140.81, 485,945.49 and 197,089.80

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Solution

The fourth proportional to 352,140.81, 485,945.49 and 197,089.80 is: 271,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,140.81 : 485,945.49 = 197,089.80 : x
  2. Step 2: Convert to fraction form
    352,140.81/485,945.49 = 197,089.80/x
  3. Step 3: Cross multiply
    352,140.81x = 485,945.49 × 197,089.80
  4. Step 4: Simplify right side
    352,140.81x = 95,774,899,435.00
  5. Step 5: Solve for x
    x = 95,774,899,435.00/352,140.81
  6. Step 6: Final answer
    x = 271,978.98

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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.