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Finding the Fourth Proportional to 378,083.22, 521,735.76 and 208,313.70

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Solution

The fourth proportional to 378,083.22, 521,735.76 and 208,313.70 is: 287,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,083.22 : 521,735.76 = 208,313.70 : x
  2. Step 2: Convert to fraction form
    378,083.22/521,735.76 = 208,313.70/x
  3. Step 3: Cross multiply
    378,083.22x = 521,735.76 × 208,313.70
  4. Step 4: Simplify right side
    378,083.22x = 108,684,706,587.91
  5. Step 5: Solve for x
    x = 108,684,706,587.91/378,083.22
  6. Step 6: Final answer
    x = 287,462.39

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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.