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Finding the Fourth Proportional to 253,437.84, 380,079.78 and 133,429.84

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Solution

The fourth proportional to 253,437.84, 380,079.78 and 133,429.84 is: 200,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,437.84 : 380,079.78 = 133,429.84 : x
  2. Step 2: Convert to fraction form
    253,437.84/380,079.78 = 133,429.84/x
  3. Step 3: Cross multiply
    253,437.84x = 380,079.78 × 133,429.84
  4. Step 4: Simplify right side
    253,437.84x = 50,713,984,232.64
  5. Step 5: Solve for x
    x = 50,713,984,232.64/253,437.84
  6. Step 6: Final answer
    x = 200,104.23

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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.