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Finding the Fourth Proportional to 393,164.53, 589,597.34 and 126,885.13

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Solution

The fourth proportional to 393,164.53, 589,597.34 and 126,885.13 is: 190,279.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,164.53 : 589,597.34 = 126,885.13 : x
  2. Step 2: Convert to fraction form
    393,164.53/589,597.34 = 126,885.13/x
  3. Step 3: Cross multiply
    393,164.53x = 589,597.34 × 126,885.13
  4. Step 4: Simplify right side
    393,164.53x = 74,811,133,025.14
  5. Step 5: Solve for x
    x = 74,811,133,025.14/393,164.53
  6. Step 6: Final answer
    x = 190,279.46

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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.