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Finding the Fourth Proportional to 378,533.30, 522,407.35 and 217,419.44

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Solution

The fourth proportional to 378,533.30, 522,407.35 and 217,419.44 is: 300,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,533.30 : 522,407.35 = 217,419.44 : x
  2. Step 2: Convert to fraction form
    378,533.30/522,407.35 = 217,419.44/x
  3. Step 3: Cross multiply
    378,533.30x = 522,407.35 × 217,419.44
  4. Step 4: Simplify right side
    378,533.30x = 113,581,510,333.30
  5. Step 5: Solve for x
    x = 113,581,510,333.30/378,533.30
  6. Step 6: Final answer
    x = 300,056.86

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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.