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Finding the Fourth Proportional to 289,494.50, 399,502.41 and 162,170.06

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Solution

The fourth proportional to 289,494.50, 399,502.41 and 162,170.06 is: 223,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,494.50 : 399,502.41 = 162,170.06 : x
  2. Step 2: Convert to fraction form
    289,494.50/399,502.41 = 162,170.06/x
  3. Step 3: Cross multiply
    289,494.50x = 399,502.41 × 162,170.06
  4. Step 4: Simplify right side
    289,494.50x = 64,787,329,799.84
  5. Step 5: Solve for x
    x = 64,787,329,799.84/289,494.50
  6. Step 6: Final answer
    x = 223,794.68

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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.