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Finding the Fourth Proportional to 253,553.28, 380,541.10 and 133,653.28

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Solution

The fourth proportional to 253,553.28, 380,541.10 and 133,653.28 is: 200,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,553.28 : 380,541.10 = 133,653.28 : x
  2. Step 2: Convert to fraction form
    253,553.28/380,541.10 = 133,653.28/x
  3. Step 3: Cross multiply
    253,553.28x = 380,541.10 × 133,653.28
  4. Step 4: Simplify right side
    253,553.28x = 50,860,566,189.81
  5. Step 5: Solve for x
    x = 50,860,566,189.81/253,553.28
  6. Step 6: Final answer
    x = 200,591.24

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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.