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Finding the Fourth Proportional to 289,781.46, 399,917.61 and 162,465.30

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Solution

The fourth proportional to 289,781.46, 399,917.61 and 162,465.30 is: 224,212.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,781.46 : 399,917.61 = 162,465.30 : x
  2. Step 2: Convert to fraction form
    289,781.46/399,917.61 = 162,465.30/x
  3. Step 3: Cross multiply
    289,781.46x = 399,917.61 × 162,465.30
  4. Step 4: Simplify right side
    289,781.46x = 64,972,734,483.93
  5. Step 5: Solve for x
    x = 64,972,734,483.93/289,781.46
  6. Step 6: Final answer
    x = 224,212.88

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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.