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Finding the Fourth Proportional to 393,127.50, 589,691.25 and 112,644.75

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Solution

The fourth proportional to 393,127.50, 589,691.25 and 112,644.75 is: 168,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,127.50 : 589,691.25 = 112,644.75 : x
  2. Step 2: Convert to fraction form
    393,127.50/589,691.25 = 112,644.75/x
  3. Step 3: Cross multiply
    393,127.50x = 589,691.25 × 112,644.75
  4. Step 4: Simplify right side
    393,127.50x = 66,425,623,433.44
  5. Step 5: Solve for x
    x = 66,425,623,433.44/393,127.50
  6. Step 6: Final answer
    x = 168,967.13

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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.