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Finding the Fourth Proportional to 288,065.38, 397,530.25 and 159,003.89

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Solution

The fourth proportional to 288,065.38, 397,530.25 and 159,003.89 is: 219,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,065.38 : 397,530.25 = 159,003.89 : x
  2. Step 2: Convert to fraction form
    288,065.38/397,530.25 = 159,003.89/x
  3. Step 3: Cross multiply
    288,065.38x = 397,530.25 × 159,003.89
  4. Step 4: Simplify right side
    288,065.38x = 63,208,857,534.01
  5. Step 5: Solve for x
    x = 63,208,857,534.01/288,065.38
  6. Step 6: Final answer
    x = 219,425.39

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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.