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Finding the Fourth Proportional to 288,381.89, 397,964.67 and 159,320.27

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Solution

The fourth proportional to 288,381.89, 397,964.67 and 159,320.27 is: 219,860.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,381.89 : 397,964.67 = 159,320.27 : x
  2. Step 2: Convert to fraction form
    288,381.89/397,964.67 = 159,320.27/x
  3. Step 3: Cross multiply
    288,381.89x = 397,964.67 × 159,320.27
  4. Step 4: Simplify right side
    288,381.89x = 63,403,838,674.86
  5. Step 5: Solve for x
    x = 63,403,838,674.86/288,381.89
  6. Step 6: Final answer
    x = 219,860.68

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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.