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Finding the Fourth Proportional to 378,689.68, 522,573.48 and 206,597.44

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Solution

The fourth proportional to 378,689.68, 522,573.48 and 206,597.44 is: 285,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,689.68 : 522,573.48 = 206,597.44 : x
  2. Step 2: Convert to fraction form
    378,689.68/522,573.48 = 206,597.44/x
  3. Step 3: Cross multiply
    378,689.68x = 522,573.48 × 206,597.44
  4. Step 4: Simplify right side
    378,689.68x = 107,962,343,179.89
  5. Step 5: Solve for x
    x = 107,962,343,179.89/378,689.68
  6. Step 6: Final answer
    x = 285,094.50

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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.