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Finding the Fourth Proportional to 289,780.50, 399,898.53 and 169,005.54

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Solution

The fourth proportional to 289,780.50, 399,898.53 and 169,005.54 is: 233,228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,780.50 : 399,898.53 = 169,005.54 : x
  2. Step 2: Convert to fraction form
    289,780.50/399,898.53 = 169,005.54/x
  3. Step 3: Cross multiply
    289,780.50x = 399,898.53 × 169,005.54
  4. Step 4: Simplify right side
    289,780.50x = 67,585,067,007.86
  5. Step 5: Solve for x
    x = 67,585,067,007.86/289,780.50
  6. Step 6: Final answer
    x = 233,228.49

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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.