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Finding the Fourth Proportional to 356,845, 492,446.10 and 197,869

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Solution

The fourth proportional to 356,845, 492,446.10 and 197,869 is: 273,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,845 : 492,446.10 = 197,869 : x
  2. Step 2: Convert to fraction form
    356,845/492,446.10 = 197,869/x
  3. Step 3: Cross multiply
    356,845x = 492,446.10 × 197,869
  4. Step 4: Simplify right side
    356,845x = 97,439,817,360.90
  5. Step 5: Solve for x
    x = 97,439,817,360.90/356,845
  6. Step 6: Final answer
    x = 273,059.22

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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.