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Finding the Fourth Proportional to 387,564.93, 534,845.82 and 213,142.03

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Solution

The fourth proportional to 387,564.93, 534,845.82 and 213,142.03 is: 294,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,564.93 : 534,845.82 = 213,142.03 : x
  2. Step 2: Convert to fraction form
    387,564.93/534,845.82 = 213,142.03/x
  3. Step 3: Cross multiply
    387,564.93x = 534,845.82 × 213,142.03
  4. Step 4: Simplify right side
    387,564.93x = 113,998,121,137.59
  5. Step 5: Solve for x
    x = 113,998,121,137.59/387,564.93
  6. Step 6: Final answer
    x = 294,139.41

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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.