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Finding the Fourth Proportional to 378,729.50, 522,663.39 and 217,635.08

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Solution

The fourth proportional to 378,729.50, 522,663.39 and 217,635.08 is: 300,346.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,729.50 : 522,663.39 = 217,635.08 : x
  2. Step 2: Convert to fraction form
    378,729.50/522,663.39 = 217,635.08/x
  3. Step 3: Cross multiply
    378,729.50x = 522,663.39 × 217,635.08
  4. Step 4: Simplify right side
    378,729.50x = 113,749,888,695.72
  5. Step 5: Solve for x
    x = 113,749,888,695.72/378,729.50
  6. Step 6: Final answer
    x = 300,346.00

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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.