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Finding the Fourth Proportional to 288,078.93, 397,561.64 and 160,755.03

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Solution

The fourth proportional to 288,078.93, 397,561.64 and 160,755.03 is: 221,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,078.93 : 397,561.64 = 160,755.03 : x
  2. Step 2: Convert to fraction form
    288,078.93/397,561.64 = 160,755.03/x
  3. Step 3: Cross multiply
    288,078.93x = 397,561.64 × 160,755.03
  4. Step 4: Simplify right side
    288,078.93x = 63,910,032,561.27
  5. Step 5: Solve for x
    x = 63,910,032,561.27/288,078.93
  6. Step 6: Final answer
    x = 221,849.03

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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.