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Finding the Fourth Proportional to 378,730.17, 522,673.25 and 217,649.43

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Solution

The fourth proportional to 378,730.17, 522,673.25 and 217,649.43 is: 300,370.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,730.17 : 522,673.25 = 217,649.43 : x
  2. Step 2: Convert to fraction form
    378,730.17/522,673.25 = 217,649.43/x
  3. Step 3: Cross multiply
    378,730.17x = 522,673.25 × 217,649.43
  4. Step 4: Simplify right side
    378,730.17x = 113,759,533,850.50
  5. Step 5: Solve for x
    x = 113,759,533,850.50/378,730.17
  6. Step 6: Final answer
    x = 300,370.93

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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.