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Finding the Fourth Proportional to 378,564.78, 522,418.34 and 217,430.24

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Solution

The fourth proportional to 378,564.78, 522,418.34 and 217,430.24 is: 300,053.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,564.78 : 522,418.34 = 217,430.24 : x
  2. Step 2: Convert to fraction form
    378,564.78/522,418.34 = 217,430.24/x
  3. Step 3: Cross multiply
    378,564.78x = 522,418.34 × 217,430.24
  4. Step 4: Simplify right side
    378,564.78x = 113,589,545,046.60
  5. Step 5: Solve for x
    x = 113,589,545,046.60/378,564.78
  6. Step 6: Final answer
    x = 300,053.12

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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.