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Finding the Fourth Proportional to 393,230, 589,847.16 and 97,742

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Solution

The fourth proportional to 393,230, 589,847.16 and 97,742 is: 146,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,230 : 589,847.16 = 97,742 : x
  2. Step 2: Convert to fraction form
    393,230/589,847.16 = 97,742/x
  3. Step 3: Cross multiply
    393,230x = 589,847.16 × 97,742
  4. Step 4: Simplify right side
    393,230x = 57,652,841,112.72
  5. Step 5: Solve for x
    x = 57,652,841,112.72/393,230
  6. Step 6: Final answer
    x = 146,613.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.