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Finding the Fourth Proportional to 393,102.72, 589,647.60 and 112,613.76

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Solution

The fourth proportional to 393,102.72, 589,647.60 and 112,613.76 is: 168,918.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,102.72 : 589,647.60 = 112,613.76 : x
  2. Step 2: Convert to fraction form
    393,102.72/589,647.60 = 112,613.76/x
  3. Step 3: Cross multiply
    393,102.72x = 589,647.60 × 112,613.76
  4. Step 4: Simplify right side
    393,102.72x = 66,402,433,310.98
  5. Step 5: Solve for x
    x = 66,402,433,310.98/393,102.72
  6. Step 6: Final answer
    x = 168,918.78

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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.