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Finding the Fourth Proportional to 288,609.81, 398,274.66 and 161,310

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Solution

The fourth proportional to 288,609.81, 398,274.66 and 161,310 is: 222,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,609.81 : 398,274.66 = 161,310 : x
  2. Step 2: Convert to fraction form
    288,609.81/398,274.66 = 161,310/x
  3. Step 3: Cross multiply
    288,609.81x = 398,274.66 × 161,310
  4. Step 4: Simplify right side
    288,609.81x = 64,245,685,404.60
  5. Step 5: Solve for x
    x = 64,245,685,404.60/288,609.81
  6. Step 6: Final answer
    x = 222,603.96

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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.