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Finding the Fourth Proportional to 378,646.92, 522,524.34 and 208,881

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Solution

The fourth proportional to 378,646.92, 522,524.34 and 208,881 is: 288,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,646.92 : 522,524.34 = 208,881 : x
  2. Step 2: Convert to fraction form
    378,646.92/522,524.34 = 208,881/x
  3. Step 3: Cross multiply
    378,646.92x = 522,524.34 × 208,881
  4. Step 4: Simplify right side
    378,646.92x = 109,145,406,663.54
  5. Step 5: Solve for x
    x = 109,145,406,663.54/378,646.92
  6. Step 6: Final answer
    x = 288,251.14

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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.