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Finding the Fourth Proportional to 289,540.36, 399,582.12 and 162,256.96

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Solution

The fourth proportional to 289,540.36, 399,582.12 and 162,256.96 is: 223,923.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,540.36 : 399,582.12 = 162,256.96 : x
  2. Step 2: Convert to fraction form
    289,540.36/399,582.12 = 162,256.96/x
  3. Step 3: Cross multiply
    289,540.36x = 399,582.12 × 162,256.96
  4. Step 4: Simplify right side
    289,540.36x = 64,834,980,061.56
  5. Step 5: Solve for x
    x = 64,834,980,061.56/289,540.36
  6. Step 6: Final answer
    x = 223,923.81

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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.