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Finding the Fourth Proportional to 289,665.72, 399,732.57 and 162,338.58

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Solution

The fourth proportional to 289,665.72, 399,732.57 and 162,338.58 is: 224,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,665.72 : 399,732.57 = 162,338.58 : x
  2. Step 2: Convert to fraction form
    289,665.72/399,732.57 = 162,338.58/x
  3. Step 3: Cross multiply
    289,665.72x = 399,732.57 × 162,338.58
  4. Step 4: Simplify right side
    289,665.72x = 64,892,017,793.55
  5. Step 5: Solve for x
    x = 64,892,017,793.55/289,665.72
  6. Step 6: Final answer
    x = 224,023.81

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1.5x scale

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.