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Finding the Fourth Proportional to 378,562.63, 522,415.42 and 217,428.12

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Solution

The fourth proportional to 378,562.63, 522,415.42 and 217,428.12 is: 300,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,562.63 : 522,415.42 = 217,428.12 : x
  2. Step 2: Convert to fraction form
    378,562.63/522,415.42 = 217,428.12/x
  3. Step 3: Cross multiply
    378,562.63x = 522,415.42 × 217,428.12
  4. Step 4: Simplify right side
    378,562.63x = 113,587,802,629.61
  5. Step 5: Solve for x
    x = 113,587,802,629.61/378,562.63
  6. Step 6: Final answer
    x = 300,050.23

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1.5x scale

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.