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Finding the Fourth Proportional to 311,389.84, 467,119.26 and 133,914.88

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Solution

The fourth proportional to 311,389.84, 467,119.26 and 133,914.88 is: 200,887.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,389.84 : 467,119.26 = 133,914.88 : x
  2. Step 2: Convert to fraction form
    311,389.84/467,119.26 = 133,914.88/x
  3. Step 3: Cross multiply
    311,389.84x = 467,119.26 × 133,914.88
  4. Step 4: Simplify right side
    311,389.84x = 62,554,219,648.59
  5. Step 5: Solve for x
    x = 62,554,219,648.59/311,389.84
  6. Step 6: Final answer
    x = 200,887.16

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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.