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Finding the Fourth Proportional to 393,988.32, 543,623.28 and 232,762.56

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Solution

The fourth proportional to 393,988.32, 543,623.28 and 232,762.56 is: 321,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,988.32 : 543,623.28 = 232,762.56 : x
  2. Step 2: Convert to fraction form
    393,988.32/543,623.28 = 232,762.56/x
  3. Step 3: Cross multiply
    393,988.32x = 543,623.28 × 232,762.56
  4. Step 4: Simplify right side
    393,988.32x = 126,535,146,328.40
  5. Step 5: Solve for x
    x = 126,535,146,328.40/393,988.32
  6. Step 6: Final answer
    x = 321,164.71

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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.