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Finding the Fourth Proportional to 253,436.84, 380,078.28 and 133,428.84

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Solution

The fourth proportional to 253,436.84, 380,078.28 and 133,428.84 is: 200,102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,436.84 : 380,078.28 = 133,428.84 : x
  2. Step 2: Convert to fraction form
    253,436.84/380,078.28 = 133,428.84/x
  3. Step 3: Cross multiply
    253,436.84x = 380,078.28 × 133,428.84
  4. Step 4: Simplify right side
    253,436.84x = 50,713,404,009.60
  5. Step 5: Solve for x
    x = 50,713,404,009.60/253,436.84
  6. Step 6: Final answer
    x = 200,102.73

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1.5x scale

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.