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Finding the Fourth Proportional to 352,139.81, 485,944.11 and 197,088.80

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Solution

The fourth proportional to 352,139.81, 485,944.11 and 197,088.80 is: 271,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,139.81 : 485,944.11 = 197,088.80 : x
  2. Step 2: Convert to fraction form
    352,139.81/485,944.11 = 197,088.80/x
  3. Step 3: Cross multiply
    352,139.81x = 485,944.11 × 197,088.80
  4. Step 4: Simplify right side
    352,139.81x = 95,774,139,077.25
  5. Step 5: Solve for x
    x = 95,774,139,077.25/352,139.81
  6. Step 6: Final answer
    x = 271,977.60

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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.