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Finding the Fourth Proportional to 378,313.70, 522,083.82 and 208,558.76

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Solution

The fourth proportional to 378,313.70, 522,083.82 and 208,558.76 is: 287,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,313.70 : 522,083.82 = 208,558.76 : x
  2. Step 2: Convert to fraction form
    378,313.70/522,083.82 = 208,558.76/x
  3. Step 3: Cross multiply
    378,313.70x = 522,083.82 × 208,558.76
  4. Step 4: Simplify right side
    378,313.70x = 108,885,151,504.84
  5. Step 5: Solve for x
    x = 108,885,151,504.84/378,313.70
  6. Step 6: Final answer
    x = 287,817.10

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1.5x scale

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.