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Finding the Fourth Proportional to 378,491.12, 522,294 and 217,232.72

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Solution

The fourth proportional to 378,491.12, 522,294 and 217,232.72 is: 299,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,491.12 : 522,294 = 217,232.72 : x
  2. Step 2: Convert to fraction form
    378,491.12/522,294 = 217,232.72/x
  3. Step 3: Cross multiply
    378,491.12x = 522,294 × 217,232.72
  4. Step 4: Simplify right side
    378,491.12x = 113,459,346,259.68
  5. Step 5: Solve for x
    x = 113,459,346,259.68/378,491.12
  6. Step 6: Final answer
    x = 299,767.52

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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.