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Finding the Fourth Proportional to 393,693.40, 543,297.02 and 230,381.30

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Solution

The fourth proportional to 393,693.40, 543,297.02 and 230,381.30 is: 317,926.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,693.40 : 543,297.02 = 230,381.30 : x
  2. Step 2: Convert to fraction form
    393,693.40/543,297.02 = 230,381.30/x
  3. Step 3: Cross multiply
    393,693.40x = 543,297.02 × 230,381.30
  4. Step 4: Simplify right side
    393,693.40x = 125,165,473,753.73
  5. Step 5: Solve for x
    x = 125,165,473,753.73/393,693.40
  6. Step 6: Final answer
    x = 317,926.27

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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.